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Nakajima Hiraku  中島 啓

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NAKAJIMA Hiraku  中島 啓

中島 啓  ナカジマ ヒラク

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Researcher Number 00201666
Other IDs
Affiliation (Current) 2025: 東京大学, カブリ数物連携宇宙研究機構, 教授
Affiliation (based on the past Project Information) *help 2018 – 2023: 東京大学, カブリ数物連携宇宙研究機構, 教授
2008 – 2017: Kyoto University, 数理解析研究所, 教授
2013: 京都大学, 数理科学研究科, 教授
2009: 京都大学, 理学研究科, 教授
2007 – 2008: Kyoto University, Graduate Schcol of Science, Professor … More
2007: Kyoto University, 大学院・理工研究科, 教授
2005 – 2007: Kyoto University, Graduate School of Science, Professor, 理学研究科, 教授
2005 – 2006: 京都大学, 大学院理学研究科, 教授
2000 – 2005: Kyoto Univ., Graduate School of Science, Professor, 大学院・理学研究科, 教授
1997 – 1999: 京都大学, 大学院・理学研究科, 助教授
1998: 京都大学, 大学院理学研究科, 助教授
1997: 京都大学, 大学院・理学研究所, 助教授
1995 – 1996: 東京大学, 大学院・数理学研究科, 助教授
1995 – 1996: 東京大学, 大学院・数理科学研究科, 助教授
1992 – 1994: 東北大学, 理学部, 助教授
1991: 東京大学, 理学部, 助手
1988 – 1989: 東京大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / Basic Section 11010:Algebra-related / Medium-sized Section 11:Algebra, geometry, and related fields / Geometry
Except Principal Investigator
Geometry / Algebra / Geometry / Algebra / 代数学・幾何学
Keywords
Principal Investigator
箙多様体 / モジュライ空間 / インスタントンの数え上げ / 量子アファイン展開環 / インスタントン / クーロン枝 / 壁越え公式 / 量子展開環 / ヒルベルト概型 / 頂点代数 … More / ゲージ理論 / S-双対多様体 / 弓箭多様体 / 超対称性ゲージ理論 / Argyres-Douglas理論 / 直交斜交弓箭多様体 / 直交斜交箙ゲージ理論 / W代数 / ゲージ理論のクーロン枝 / 4次元超対称性場の量子論 / prepotential / wall-crossing formula / Donaldson invariants / Instanton counting / プレポテンシャル / Donaldson不変量 / instanton counting / quantum affine algebras / 分配関数 / moduli spaces / vector bundles over K3 surfaces / Quantum affine algebra / Quiver varieties / テンソル積 / ラグランジアン部分多様体 / 結晶基底 / K3曲面の上のベクトル束 / K3曲面上のベクトル束 / Yangian代数 / 余積 / Kazhdan-Lusztig多項式 / 手鋸箙多様体 / モノポール公式 / 超ケーラー多様体 / 表現論 / 幾何学 / 代数学 / 壁越え / クラスター代数 / 偏屈連接層 / ドナルドソン不変量 / 交叉ホモロジー / アファイン・リ一環 / Poincare多項式 / 同変K群 / q-指標 / McKay対応 / 層のモジュライ空間 / アファイン・リー環 / ハイゼンベルク代数 / 量子アファイン代数の有限次元表現 / 連接ベクトル束のGrothendieck群 / トロイダル代数 / Macdonald多項式 / Hilbert概型 / ヘッケ環 / ハイゼンベルグ代数 / Kac-Moody Lie環 / ドナルドソンの不変量 / affiue Lie algebra / モジュラー形式 / S-duality / カッツ・ムーディ・リー環 / 超ケーラー構造 … More
Except Principal Investigator
モジュライ空間 / 表現論 / フレアーホモロジー / 量子群 / 分類空間 / シンプレクティック幾何学 / モジュライ / 代数幾何学 / ミラー対称性 / ラグランジュ部分多様体 / シンプレクティック多様体 / ホモトピー代数 / Floer homology / ゲージ群 / ベクトル束 / 幾何学 / gauge group / 代数学 / K-理論 / 楕円コホモロジー / 形式群 / ホモトピー論 / カテゴリー / 局所化 / アラケロフ幾何 / 箙多様体 / アインシュタイン計量 / 調和写像 / トーリック多様体 / obstruction / test configuration / balanced metric / extremal metric / K-theory / Flat connections / Tropical RSK / Parabolic Kostka polynomials / Schubert Calculus / Amoebas / モラバK理論 / ホモトピー型 / Flore homology / Conley homology / 随伴作用 / Mirror symmetry / アーベル多様体 / テータ関数 / Symplectic Geometry / モース理論 / 位相的場の理論 / フレア-ホモロジー / ハミルトン系 / ゲージ理論 / Calabi-Yau多様体 / 算術的多様体 / カラビ・ヤウ多様体 / 幾何学的群論 / 複素幾何学 / 微分幾何学 / 導来圏 / 混合ツイスターD加群 / エンリケス曲面 / 複素幾何 / 解析的捩率 / 数論幾何学 / ケーラー多様体 / 単体集合 / 対称群 / 代数解析 / K理論 / 自由ループ空間 / 自己ホモトピー群 / 自由ループ群 / D-加群 / 結晶基底 / 佐々木多様体 / リッチ・ソリトン / 二木不変量 / Fano多様体 / 乗数イデアル層 / ケーラー・アインシュタイン計量 / 弦理論 / 解析学 / 数理物理 / 量子コホモロジー / ハミルトン力学系 / 擬正則曲線 / 双有理幾何 / ディオファントス幾何 / A無限代数 / Dブレイン / 非可換幾何学 / 対応 / 概正則曲線 / ALE空間 / 指標 / アインシュタイン・ケーラー計量 / 極小曲面 / 超幾何型微分方程式 / 可解模型 / インスタントン / リ-マン面 / 複素多様体 / 国際研究者交流 / 国際情報交換 / 国際研究者交流(フランス、ハンガリー) / モジュライ理論 / Bridgeland安定性 / 量子コホモロジーとミラー 対称性 / Floer理論 / パンルヴェ型方程式 / Floer 理論 / リーマン・ヒルベルト対応 / 量子コホモロジーとミラー対称性 / モノドロミー保存変形 / 相空間 / パンルヴェ方程式 / 可積分系 / 理論物理学 / シンプレティック多様体 / 代数多様体 / 数論多様体 / 超ケーラー多様体 / シンプレクティック特異点 / アラケロフ幾何学 / 数理物理学 / Algebraic analysis / Quantum groups / Lie algebras / リー代数 / homotopy type / linear group / cohomology / symmetric group / simplicial set / formal group / 分類空間空間 / 亜群 / 高次元カテゴリー / 線形群 / コホモロジー / constant scalar curvature / degeneration / stability / geometry / Chow計量 / Kahler-Einstein計量 / 漸近的ベルグマン核 / Zhangの臨界計量 / Extremal metric / 射影kahler多様体 / extremal Kahle計量 / Caltin-Lu-Tian-Zelditch / Hilbert-Mumford漸近安定性 / Chow-Mumford漸近安定性 / 存在問題 / 偏極代数多様体 / extremal-Kahler計算 / Hilbert-mumford安定性 / Chow-mumford安定性 / 漸近安定性 / 定スカラー曲率ケーラー計量 / Hitchin-Kobayashi対応 / Test configuration / 定スカラー曲率 / 退化 / 安定性 / characteristic class / exceptional group / nilpotent group / principal bundle / classical group / self homotopy set / KO理論 / e-不変量 / 随伴束 / LS category / nilpotency / 巾零群 / 例外リー群 / 特性類 / 例外群 / 中零群 / 主東 / 古典群 / 自己ホモトピー集合 / Nichols-Woronowicz algebras / Virasoro algebra / Torus knots / Associated Askey-Wilson functions / Sato gra smannian / Schubert polynomials / Bracket algebra / Quantum cohomology / Coxeter groups / Generalized saturation theorem / Weyl modules / Nichols algebras / Discrete integrable systems / 平坦接続 / Nichols-Woronowicz代数 / Virasoro代数 / トーラス結び目 / トロピカルRSK / 放物型コストカ多項式 / moment map / geometric invariant theory / K-stability / scalar curvature / 不変コホモロジー / 同変コホモロジー / ケーラー計量 / トーラス埋め込み / モーメント写像 / 幾何学的不変式論 / K安定性 / スカラー曲率 / Hamiltonian dynamical system / Topological field theory / quasi-regular curve / A infinity algebra / Lagrangian sublmanifolds / symplectic topology / Rigid幾何学 / 超ポテンシャル / A無限大代数 / open string / 曲率と基本群 / シンプレクティック微分同相群 / ループ空間 / A無限大構造 / category / homotopy group / Hopf algebra / cohomnmgv / モラバK-理論 / コホモロジー論 / 保型形式 / コボルディズム理論 / 誘導指標 / スティーンロッド代数 / コホモロジー作用素 / ホモトピー群 / ホップ代数 / コホモロジー群 / Moduli space / Rational point / Diophantine Geometry / Logarithmic Geometry / サイクル / 代数スタッフ / モジュラル空間 / ピカール群 / 安定曲線 / 数論的関数体 / ゼータ関数 / 数学的函数体 / モジュラー的高さ / 数論的多様体 / ゼータ函数 / 代数的サイクル / 有理点 / 対数幾何学 / D-modules / quantum group / crystal bases / representation theory / 組み合わせ / 幾何学的表現論 / homotopical algebra / Cherm number / homotopy associative / homotopyset / localization / infinite dimensional Lie group / 非可換代数幾何学 / スタック / 無次元リー群 / Chern数 / ホモトピー結合性 / ホモトピー集合 / 無限次元リー群 / Quiver variety / Coinvariant algebra / Calabi-Yau Manifolds / Theta function / McKay correspondence / Compactification / Moduli / Abelian variety / Stability / Abel 多様体 / レベルN構造 / 楕円曲線 / 一般化Whittaker模型 / Griffiths領域 / Abel多様体 / 余不変式環 / マッカイ対応 / Quiver多様体 / 余不変代数 / データ関数 / McKay対応 / コンパクト化 / Classifying space / Hopf space / adjoint representation / free loop group / Hopf空間 / exceptional line / boundedness / simple complex / reflexive sheaf / Bogomolov's inequality / moduli / stable sheaf / stable vector bundle / Bogomolovの不等式 / 変形 / Bogomolov不等式 / 代数的空間 / 第2種例外直線 / 有界性 / 単純な複体 / 反射的加群 / ボゴモロフの不等式 / モデュライ / 安定層 / 安定ベクトル束 / Lagrangian submanifold / Kuranishi map / pseudoholomorphic curve / moduli space / Homotopical Algebra / マスロフ指数 / テ-タ関数 / ヤンミルズ方程式 / A無限大カテゴリー / 鏡映対称性 / 非可換トーラス / 軌道体 / 倉西写像 / シンプレクティック幾何 / Kleiniaangroup / Hamiltoniansystem / Hyperbolic Geometry / Geometric Grouptheory / String Theory / Gauge Theory / アレクサンドロフ空間 / モ-ス理論 / クライン群 / 双曲幾何学 / Hessian manifolds / Kahler-Liouville manifolds / quiver varietie / Nevanlinna theory / Vojta conjecture / value distribution theory / moduli space of harmonic maps / harmonic map / リューヴイル多様体 / アファイン多様体 / Hessian多様体 / 反自己双対空間 / ケージ理論 / hyperkahler多様体 / 中心アファイン的変形 / ヤンミルズ接続 / フアノ多様体 / 平坦な共形構造 / ヘシアン多様体 / ケーラー・リューヴィル多様体 / ネバリナ理論 / Vojta予想 / 値分布論 / 調和写像のモジュライ空間 / ファイバー空間 / 4次元多様体 / Enriques曲面 / CalabiYau多様体 / K3曲面 / クラスター代数 / 離散群とコホモロジー次元 / 複素多様体の変形 / 力学的次数 / 直交型モジュラー多様体 / クレモナ変換 / 複素力学系 / 深谷圏 / 仮想ホモロジー類 / 位相幾何学 / 複体 / Bridgeland stability / ドリーニュ・マルグランジュ格子 / ディリクレの単数定理 / ルート系 / 調和バンドル / BorcherdsΦ関数 / 手鋸箙多様体 / ザリスキ分解 / 算術多様体 / 解析的捩率不変量 / ポアソン変形 / 交叉コホモロジー群 / 半正定値 / 算術的力学系 / Fano 多様体 / 自己相似解 / 平均曲率流 / モンジュ=アンペール方程式 / 複素解析幾何 / トーリック微分幾何 / 偏極射影代数多様体 / 佐々木アインシュタイン計量 / テスト配位 / Donaldson-Tian-Yau予想 / K-安定性 / Ricci soliton / 楕円コホモロジー論 / 無限ループ空間 / Morava K-理論 / 代数群 / 群の表現論 / エタールホモトピー / ホモトピー可換 / 有理ホモトピー / 高次のホモトピー結合性 / Samelson積 / リー群 / 自己ホモトピ-群 / 自由ル-プ空間 / 高次のホモトピ-結合性 / ゲ-ジ群 / リ-群 / ベキ零群 / 写像空間 / ファイバーワイズトポロジーL.Sカテゴリー / フーリエ向井変換 / Donaldson 不変量 / Donaldson不変量 / 旗多様体 / 偏屈層 / アフィンヘッケ環 / 変形量子化 / リッチソリトン / AdS-CFT対応 / 微分幾何 / 素粒子論 / トポロジー / 超弦理論 / ホモロジー代数 / 特異点理論 / カラビヤウ多様体 / フレア-ホモロジ- / ミラ-対称性 / シンプレクティク幾何 / 対数スキーム / 小林・落合の定理 / 降下定理 / 剛性定理 / 対数幾何 / 藤田の近似定理 / 算術的極限予想 / 算術的体積関数 / 双有理アラケロフ幾何 / 数論幾何 / 倉西構造 / 変形理論 / ノビコフ環 / シンプレティック幾何学 / stable / Hermition / Kihler / metric / Eimitein / 大域的変分問題 / シュレディンガー作用素 / 反自己双対接続 / モディライ空間 / 同変K理論 / トーラス作用 / 代数群の表現 / 確定特異点 / 同変ホロノミー系 / アインシュタイン・エルミート接続 / 反応拡散方程式 / 楕円型偏微分方程式 / 幾何構造の退化 / 山辺の問題 / ヤン・ミルズ場 / 非線形偏微分方程式系 / 幾何学的変分問題 / 共形場 / Yang-Baxter方程式 / カノニカル基底 / 交叉ホモロジー / ホロノミー系 / Chem-Simms gange理論 / 3次元多様体の位相不変量 / 絡み目の不変量 / 曲面写像類 / モノドロミ- / 特異ファイバ- / 消滅定理 / チャ-ン類 / ファノ多様体 / 変換群 Less
  • Research Projects

    (59 results)
  • Research Products

    (412 results)
  • Co-Researchers

    (157 People)
  •  Study of moduli spaces of vacua of supersymmetric gauge theories by geometric representation theoryPrincipal Investigator

    • Principal Investigator
      中島 啓
    • Project Period (FY)
      2023 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      The University of Tokyo
  •  Vertex algebras and 4-dimensional supersymmetric quantum field theoriesPrincipal Investigator

    • Principal Investigator
      Nakajima Hiraku
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Challenging Research (Exploratory)
    • Review Section
      Medium-sized Section 11:Algebra, geometry, and related fields
    • Research Institution
      The University of Tokyo
  •  New development of algebraic geometry viewed from theoretical physics

    • Principal Investigator
      Moriwaki Atsushi
    • Project Period (FY)
      2016 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Moduli spaces of algebraic varieties and self-morphisms

    • Principal Investigator
      Mukai Shigeru
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Developments in Interactions between Algebraic Geometry and Integrable Systems

    • Principal Investigator
      Saito Masa-Hiko
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Kobe University
  •  Proof of Homological Mirror Symmetry

    • Principal Investigator
      Fukaya Kenji
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Geometry of instanton moduli spaces and representation theoryPrincipal Investigator

    • Principal Investigator
      Nakajima Hiraku
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Constructions and developments of geomerty on moduli spaces and arithmetic varieties

    • Principal Investigator
      MORIWAKI Atsushi
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Study of vector bundles using the theory of complexes

    • Principal Investigator
      YOSHIOKA Kota
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kobe University
  •  AdS/CFT correspondence and GIT stablity

    • Principal Investigator
      FUTAKI Akito
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
      Tokyo Institute of Technology
  •  Geometry of Ricci solitons on complex manifolds

    • Principal Investigator
      MABUCHI Toshiki
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Geometry of quiver varieties and representation theoryPrincipal Investigator

    • Principal Investigator
      NAKAJIMA Hiraku
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Research on representation theory of algebraic groups and quantum groups via algebraic analysis

    • Principal Investigator
      TANISAKI Toshiyuki
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka City University
  •  Higher dimensional category and its applications

    • Principal Investigator
      NISHIDA Goro
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  New development of geometry based on topological field theory

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      2006 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  GIT stability and canonical Kahler metrics

    • Principal Investigator
      FUTAKI Akito
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Algebraic Analysis of Infinite Symmetry

    • Principal Investigator
      KASHIWARA Masaki
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Studies on moduli of stable sheaves

    • Principal Investigator
      YOSHIOKA Kota
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kobe University
  •  Research on algebraic topology and its geometric applications

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Diophantine geometry and moduli problems

    • Principal Investigator
      MORIWAKI Atsushi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Quiver varieties, moduli spaces and representation theoryPrincipal Investigator

    • Principal Investigator
      NAKAJIMA Hiraku
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Lie algebras and quantum groups via algebraic analysis

    • Principal Investigator
      TANISAKI Toshiyuki
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka City University
  •  Existence Problem of Fxtremal Metran and Degeneration of Balanced Metrics

    • Principal Investigator
      MABUCHI Toshiki
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Homotopy Theoretic Study of Higher Dimensional Categories

    • Principal Investigator
      NISHIDA Goro
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Parabolic Kostka polynomials, quiver varieties, crystal bases and tropicalcombinatorics

    • Principal Investigator
      KIRILLOV Anatol N.
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Homotopical Algebra and its Geometric Applications

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Graduate School of Science, Kyoto University
  •  Finite dimensional representations of quantum affine algebrasPrincipal Investigator

    • Principal Investigator
      NAKAJIMA Hiraku
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Geometric Non-linear problems and stability in invariant theory

    • Principal Investigator
      FUTAKI Akito
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  物理学に刺激されて生まれた種々の幾何学

    • Principal Investigator
      深谷 賢治
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Algebraic Analysis of Representation Theory

    • Principal Investigator
      KASHIWARA Masaki
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Moduli spaces and arithmetic geometry

    • Principal Investigator
      MORIWAKI Atushi
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Algebraic topology and formal group law

    • Principal Investigator
      NISHIDA Goro
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Quiver varieties and quantum affine algebrasPrincipal Investigator

    • Principal Investigator
      NAKAJIMA Hiraku
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Moduli space, Homotopical algebra, Field theory

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      2001 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  A STUDY ON THE GEOMETRY OF MODULI SPACES

    • Principal Investigator
      NAKAMURA Iku
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Algebraic Geometry, Differential Geometry and Topology of Manifolds

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  表現論と幾何学Principal Investigator

    • Principal Investigator
      中島 啓
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  新しい空間像の創出

    • Principal Investigator
      深谷 賢治
    • Project Period (FY)
      1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Study of Moduli and its Applications

    • Principal Investigator
      MARUYAMA Masaki
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Classifying spaces of Categories, Flore Homology and Homotopsy Theory of Infinite Complexes

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  代数曲面上のベクトル束とアファイン代数Principal Investigator

    • Principal Investigator
      中島 啓
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Moduli space and infinite dimensional geometry

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  4次元ゲージ理論とアファイン・リー環Principal Investigator

    • Principal Investigator
      中島 啓
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      The University of Tokyo
  •  箙多様体と量子展開環,ヘッケ環Principal Investigator

    • Principal Investigator
      中島 啓
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  えびら多様体とカッツ・ムーディ・リー環の研究Principal Investigator

    • Principal Investigator
      中島 啓
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Interaction between Geometry and various mathematics

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  ALE空間及びリーマン面上のゲージ理論と量子群の表現論Principal Investigator

    • Principal Investigator
      中島 啓
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Tohoku University
  •  超幾何型関数と表現論

    • Principal Investigator
      堀田 良之
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  幾何構造のモジュライと変形の研究

    • Principal Investigator
      西川 青季
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  特異幾何構造とその応用

    • Principal Investigator
      板東 重稔
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Geometric structures on manifolds and global variation problems

    • Principal Investigator
      SAKANE Yusuke
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  幾何学における非線形問題の総合的研究

    • Principal Investigator
      西川 青季
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Co-operative Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  幾何構造の変形と大域的変分問題

    • Principal Investigator
      西川 青季
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  超ケーラー構造をもつ多様体についてPrincipal Investigator

    • Principal Investigator
      中島 啓
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  3次元多様体のトポロジーと場の理論

    • Principal Investigator
      牛腸 徹
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      The University of Tokyo
  •  代数的手法による表現論

    • Principal Investigator
      堀田 良之
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  4次元ファイバ-空間と曲面の写像類

    • Principal Investigator
      松本 幸夫
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  変換群と幾何学

    • Principal Investigator
      服部 晶夫
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  Yang-Mills場と4次元多様体

    • Principal Investigator
      松本 幸夫
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 Other

All Journal Article Presentation Book

  • [Book] Instanton moduli spaces and W-algebras2016

    • Author(s)
      A. Braverman, M. Finkelberg and H. Nakajima
    • Total Pages
      128
    • Publisher
      Asterisque
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Book] Advances in Representation Theory of Algebras, EMS Series of Congress Reports2014

    • Author(s)
      Hiraku Nakajima
    • Total Pages
      378
    • Publisher
      EMS Publishing House
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Journal Article] Towards geometric Satake correspondence for Kac-Moody algebras -- Cherkis bow varieties and affine Lie algebras of type A2023

    • Author(s)
      H. Nakajima
    • Journal Title

      Annales scientifiques de l'Ecole normale superieure

      Volume: 56 Pages: 1777-1824

    • DOI

      10.24033/asens.2567

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K03067, KAKENHI-PROJECT-19K21828
  • [Journal Article] Coulomb branches of quiver gauge theories with symmetrizers2023

    • Author(s)
      Nakajima Hiraku、Weekes Alex
    • Journal Title

      Journal of the European Mathematical Society

      Volume: 25 Issue: 1 Pages: 203-230

    • DOI

      10.4171/jems/1176

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828, KAKENHI-PROJECT-16H06335
  • [Journal Article] Kazhdan-Lusztig conjecture via zastava spaces2022

    • Author(s)
      Braverman Alexander、Finkelberg Michael、Nakajima Hiraku
    • Journal Title

      Journal fur die reine und angewandte Mathematik (Crelles Journal)

      Volume: 2022 Issue: 787 Pages: 45-78

    • DOI

      10.1515/crelle-2022-0013

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828, KAKENHI-PROJECT-16H06335
  • [Journal Article] Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras2021

    • Author(s)
      Nakajima Hiraku
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 61 Issue: 2 Pages: 377-397

    • DOI

      10.1215/21562261-2021-0006

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Journal Article] Line bundles over Coulomb branches2021

    • Author(s)
      Braverman Alexander、Finkelberg Michael、Nakajima Hiraku
    • Journal Title

      Advances in Theoretical and Mathematical Physics

      Volume: 25 Issue: 4 Pages: 957-993

    • DOI

      10.4310/atmp.2021.v25.n4.a2

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Journal Article] 3d TQFTs from Argyres-Douglas theories2020

    • Author(s)
      Dedushenko Mykola、Gukov Sergei、Nakajima Hiraku、Pei Du、Ye Ke
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 53 Issue: 43 Pages: 43LT01-43LT01

    • DOI

      10.1088/1751-8121/abb481

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Journal Article] Coulomb branches of $3d$ $\mathcal{N}=4$ quiver gauge theories and slices in the affine Grassmannian2019

    • Author(s)
      Braverman Alexander、Finkelberg Michael、Nakajima Hiraku
    • Journal Title

      Advances in Theoretical and Mathematical Physics

      Volume: 23 Issue: 1 Pages: 75-166

    • DOI

      10.4310/atmp.2019.v23.n1.a3

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828, KAKENHI-PROJECT-18K13390, KAKENHI-PROJECT-16H06335
  • [Journal Article] Ring objects in the equivariant derived Satake category arising from Coulomb branches2019

    • Author(s)
      Braverman Alexander、Finkelberg Michael、Nakajima Hiraku
    • Journal Title

      Advances in Theoretical and Mathematical Physics

      Volume: 23 Issue: 2 Pages: 253-344

    • DOI

      10.4310/atmp.2019.v23.n2.a1

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828, KAKENHI-PROJECT-16H06335
  • [Journal Article] Coproduct for the Yangian of an affine Kac-Moody algebra2018

    • Author(s)
      Nicolas Guay, Hiraku Nakajima, Curtis Wendlandt
    • Journal Title

      Adv. Math.

      Volume: 338 Pages: 865-911

    • DOI

      10.1016/j.aim.2018.09.013

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Journal Article] Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras2018

    • Author(s)
      Ryosuke Kodera, Hiraku Nakajima,
    • Journal Title

      String-Math 2016, Proceedings of Symposia in Pure Mathematics

      Volume: 98 Pages: 49-78

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Journal Article] Introduction to a provisional mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories2018

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Modern Geometry: A Celebration of the Work of Simon Donaldson, Proceedings of Symposia in Pure Mathematics

      Volume: 99 Pages: 193-211

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Journal Article] Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type A2017

    • Author(s)
      中島 啓, Yuuya Takayama
    • Journal Title

      Selecta Mathematica

      Volume: 23 Issue: 4 Pages: 2553-2633

    • DOI

      10.1007/s00029-017-0341-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H06335, KAKENHI-PROJECT-25220701
  • [Journal Article] Lectures on perverse sheaves on instanton moduli spaces2017

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Geometry of Moduli Spaces and Representation Theory

      Volume: 24 Pages: 381-436

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Journal Article] Lectures on perverse sheaves on instanton moduli spaces2017

    • Author(s)
      中島 啓
    • Journal Title

      Geometry of Moduli Spaces and Representation Theory

      Volume: 24 Pages: 381-436

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Journal Article] Instanton moduli spaces and W-algebras2016

    • Author(s)
      A. Braverman, M. Finkelberg, H. Nakajima
    • Journal Title

      Ast\'erisque

      Volume: 385

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Journal Article] Towards a mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories, I2016

    • Author(s)
      中島 啓
    • Journal Title

      Advances in Theoretical and Mathematical Physics

      Volume: 20 Pages: 595-669

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Journal Article] Instanton moduli spaces and W-algebras2016

    • Author(s)
      A. Braverman, M. Finkelberg and H. Nakajima
    • Journal Title

      Asterisque

      Volume: 385

    • Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Journal Article] Towards a mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories, II2016

    • Author(s)
      A. Braverman, M. Finkelberg and H.Nakajima
    • Journal Title

      arXiv:1601.03586

      Volume: ***

    • Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Journal Article] Towards a mathematical definition of Coulomb branches of -dimensional gauge theories, 12016

    • Author(s)
      H. Nakajima
    • Journal Title

      Advances in Theoretical and Mathematical Physics

      Volume: 20 Issue: 3 Pages: 595-669

    • DOI

      10.4310/atmp.2016.v20.n3.a4

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-24224001, KAKENHI-PROJECT-25220701
  • [Journal Article] A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes2015

    • Author(s)
      Buryak, Alexandr; Feigin, Boris Lvovich; Nakajima, Hiraku
    • Journal Title

      Int. Math. Res. Not.

      Volume: IMRN 2015, no. 13, Pages: 4708-4715

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes2015

    • Author(s)
      A. Buryak, B.L. Feigin and H. Nakajima
    • Journal Title

      International Mathematics Research Notices

      Volume: 13 Issue: 13 Pages: 4708-4715

    • DOI

      10.1093/imrn/rnu076

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001, KAKENHI-PROJECT-25220701, KAKENHI-PROJECT-23340005
  • [Journal Article] A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes2015

    • Author(s)
      A. Buryak, B.L. Feigin and H. Nakajima
    • Journal Title

      International Mathematics Research Notices

      Volume: *

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] A simple proof of the formula for the Bettinumbers of the quasihomogeneous Hilbert schemes2015

    • Author(s)
      A. Buryak, B.L. Feigin and H. Nakajima
    • Journal Title

      International Mathematics Research

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Journal Article] Affine cellularity of quantum affine algebras2015

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Journal of Algebra

      Volume: 441 Pages: 601-608

    • DOI

      10.1016/j.jalgebra.2015.07.017

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25220701, KAKENHI-PROJECT-23340005, KAKENHI-PROJECT-24224001
  • [Journal Article] Towards a mathematical definition of Coulomb branches of 3-dimensional $\mathcal N=4$ gauge theories2015

    • Author(s)
      H. Nakajima
    • Journal Title

      arXiv

      Volume: 1503.03676. Pages: 1-54

    • Open Access
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] Refined Chern-Simons theory and Hilbert schemes of points on the plane2014

    • Author(s)
      H.Nakajima
    • Journal Title

      Contemporary Math.

      Volume: 610 Pages: 305-351

    • DOI

      10.1090/conm/610/12157

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-23340005, KAKENHI-PROJECT-25220701
  • [Journal Article] 戸田幸伸氏の業績2014

    • Author(s)
      中島 啓
    • Journal Title

      数学

      Volume: 66巻, 第4号

    • NAID

      130006882520

    • Data Source
      KAKENHI-PROJECT-24224001
  • [Journal Article] Cluster algebras and singular supports of perverse sheaves2014

    • Author(s)
      H. Nakajima
    • Journal Title

      Advances in Representation Theory of Algebras EMS Series of Congress Reports

      Volume: - Pages: 211-230

    • DOI

      10.4171/125-1/7

    • ISBN
      9783037191255, 9783037196250
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224001, KAKENHI-PROJECT-23340005
  • [Journal Article] Refined Chern-Simons theory and Hilbert schemes of points on the plane2014

    • Author(s)
      中島 啓
    • Journal Title

      'Perspectives in Representation Theory', Contemporary Math.

      Volume: 610 Pages: 305-331

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Journal Article] 戸田幸伸氏の業績2014

    • Author(s)
      中島 啓
    • Journal Title

      数学

      Volume: 66-4 Pages: 414-421

    • NAID

      130006882520

    • Data Source
      KAKENHI-PROJECT-25220701
  • [Journal Article] Instanton moduli spaces and $\mathscr W$-algebras2014

    • Author(s)
      A. Braverman, M. Finkelberg and H. Nakajima
    • Journal Title

      arXiv

      Volume: 1406.2381. Pages: 1-122

    • Open Access
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] Refined Chern-Simons theory and Hilbert schemes of points on the plane2014

    • Author(s)
      H. Nakajima
    • Journal Title

      Perspectives in Representation Theory, Contemporary Math. AMS

      Volume: 610 Pages: 305-331

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] Refined Chern-Simons theory and Hilbert schemes of points on the plane2014

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Contemporary Mathematics, AMS

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Journal Article] 戸田幸伸氏の業績2014

    • Author(s)
      中島 啓
    • Journal Title

      数学

      Volume: 66-4 Pages: 414-421

    • NAID

      130006882520

    • Open Access
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] Refined Chern-Simons theory and Hilbert schemes of points on the plane, in 'Perspectives in Representation Theory'2014

    • Author(s)
      H. Nakajima
    • Journal Title

      Contemporary Math.

      Volume: 610

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Journal Article] Quiver varieties and tensor products, II2013

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Symmetries, Integrable Systems and Representations, Springer Proceedings in Mathematics and Statics

      Volume: 40 Pages: 403-428

    • DOI

      10.1007/978-1-4471-4863-0_16

    • NAID

      120005526701

    • ISBN
      9781447148623, 9781447148630
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Journal Article] Handsaw quiver varieties and finite W-algebras2012

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Moscow Mathematical Journal

      Volume: 12

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Journal Article] Handsaw quiver varieties and finite W-algebras2012

    • Author(s)
      中島 啓
    • Journal Title

      Moscow Mathematical Journal

      Volume: 12 Pages: 633-666

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Journal Article] Quiver varieties and cluster algebras2011

    • Author(s)
      中島啓
    • Journal Title

      Kyoto J.Math.

      Volume: 51 Pages: 71-126

    • NAID

      120005593585

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Journal Article] Perverse coherent sheaves on blow-up. II, wall-crossing and Betti numbers formula2011

    • Author(s)
      中島啓、吉岡康太
    • Journal Title

      J.Algebraic Geom.

      Volume: 20 Pages: 47-100

    • NAID

      120005593584

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Journal Article] Donaldson=Seiberg-Witten from Mochizuki's formula and instanton counting2011

    • Author(s)
      Lothar Gottsche, 中島啓、吉岡康太
    • Journal Title

      Publ.of RIMS

      Volume: 47 Pages: 307-359

    • NAID

      110008425903

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Journal Article] Perverse coherent sheaves on blow-up. III. Blow-up formula from wall-crossing2011

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      Kyoto J.of Math

      Volume: (掲載確定)

    • NAID

      120005593586

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] Counting invariant of perverse coherent sheaves and its wall-crossing2011

    • Author(s)
      長尾健太郎、中島啓
    • Journal Title

      IMRN

      Volume: 17 Pages: 3885-3938

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Journal Article] Perverse coherent sheaves on blow-up II : Wall-crossing and Betti numbers formula2011

    • Author(s)
      Nakajima H., Yoshioka K.
    • Journal Title

      J.Algebraic Geometry

      Volume: 29 Pages: 47-100

    • NAID

      120005593584

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340010
  • [Journal Article] Perverse coherent sheaves on blow-up.II, wall-crossing and Betti numbers formula2011

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      J.Algebraic Geom 20

      Pages: 47-100

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] Donaldson = Seiberg-Witten from Mochizuki's formula and instanton counting2011

    • Author(s)
      Lothar Gottsche, Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      Publ.of RIMS 47 No.1

      Pages: 307-359

    • NAID

      110008425903

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] Perverse coherent sheaves on blow-up III : Blow-up formula from wall-crossing2011

    • Author(s)
      H.Nakajima, K.Yoshioka
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 51 Issue: 2 Pages: 263-335

    • DOI

      10.1215/21562261-1214366

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19104002, KAKENHI-PROJECT-22340010
  • [Journal Article] Donaldson = Seiberg-Witten from Mochizuki's formula and instanton counting2011

    • Author(s)
      Goettsche Lothar, Nakajima Hiraku, Yoshioka Kota
    • Journal Title

      Publ. Res. Inst. Math. Sci

      Volume: 47(1) Pages: 307-359

    • NAID

      110008425903

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340010
  • [Journal Article] Perverse coherent sheaves on blow-up. III. Blow-up formula from wall-crossing2011

    • Author(s)
      中島啓、吉岡康太
    • Journal Title

      Kyoto J.Math.

      Volume: 51 Pages: 263-335

    • NAID

      120005593586

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Journal Article] Quiver varieties and cluster algebras2011

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Kyoto J.of Math.

      Volume: 51(1) Pages: 71-126

    • NAID

      120005593585

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] t-analogs of q-characters of quantum affine algebras of type E_6, E_7, E_82011

    • Author(s)
      中島啓
    • Journal Title

      Progress in Mathematics

      Volume: 287 Pages: 257-272

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Journal Article] Perverse coherent sheaves on blow-up. I, a quiver description2011

    • Author(s)
      中島啓
    • Journal Title

      Adv.Stu.in Pure Math.

      Volume: 61 Pages: 349-389

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Journal Article] Perverse coherent sheaves on blow-up I : a quiver description2011

    • Author(s)
      Nakajima H., Yoshioka K.
    • Journal Title

      Advanced Studies in Pure Math

      Volume: 61 Pages: 349-386

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340010
  • [Journal Article] Donaldson = Seiberg-Witten from Mochizuki's formula and instanton counting2011

    • Author(s)
      Lothar Gottsche, Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      Publ.of RIMS

      Volume: (掲載確定)

    • NAID

      110008425903

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] Quiver varieties and cluster algebras, Kyoto2011

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      J.Math. Volume 51, Number 1

      Pages: 71-126

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] Perverse coherent sheaves on blow-up. II. Wall-crossing and Betti numbers formula2011

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      J.of Algebraic Geometry

      Volume: 20 Pages: 47-100

    • NAID

      120005593584

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] PERVERSE COHERENT SHEAVES ON BLOW-UP. II. WALL-CROSSING AND BETTI NUMBERS FORMULA2010

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      Journal of Algebraic Geometry (掲載予定, 現在 online で発行)

    • NAID

      120005593584

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] Quiver varieties and branching2009

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      SIGMA 5(掲載確定)

      Pages: 37-37

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] K-theoretic Donaldson invariants via instanton counting.2009

    • Author(s)
      Gottsche, Lothar; Nakajima, Hiraku; Yoshioka, Kota
    • Journal Title

      Pure Appl. Math. 5

      Pages: 1029-1111

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340010
  • [Journal Article] K-theoretic Donaldson invariants via Instanton Counting2009

    • Author(s)
      L. Goettsche, H. Nakajima and K.Yoshioka
    • Journal Title

      Pure and Applied Mathematics Quarterly vol.5

      Pages: 1029-1111

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340010
  • [Journal Article] Quiver varieties and branching2009

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      SIGMA 5

      Pages: 37-37

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] K-theoretic Donaldson invariants via instanton counting2009

    • Author(s)
      Lothar Gottsche, Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      Pure and Appl.Math.Quaterly 5, No.3

      Pages: 1029-1111

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] Quiver varieties and branching2009

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      SIGMA 5 003

      Pages: 37-37

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] K-theoretic Donaldson invariants via Instanton Counting2009

    • Author(s)
      L. Goettsche, H. Nakajima, K. Yoshioka
    • Journal Title

      Pure and Applied Mathematics Quarterly vol.5

      Pages: 1029-1111

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340010
  • [Journal Article] K-theoretic Donaldson invariants via instanton counting2009

    • Author(s)
      Lothar Gottsche, Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      Pure and Appl. Math. Quaterly 5

      Pages: 1029-1111

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] Instanton counting and Donaldson invariants2008

    • Author(s)
      Lothar Gottsche, Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      J. of Differential Geometry 80

      Pages: 343-390

    • NAID

      10019542192

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] Instanton counting and Donaldson invariants.2008

    • Author(s)
      Gottsche, Lothar; Nakajima, Hiraku; Yoshioka, Kota
    • Journal Title

      J. Differential Geom 80

      Pages: 343-390

    • NAID

      10019542192

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340010
  • [Journal Article] Donaldson invariants and instanton counting2008

    • Author(s)
      Lothar Gottsche, Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      J. of Diff. Geom. 80

      Pages: 343-390

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] Instanton counting and Donaldson invariants2008

    • Author(s)
      L. Goettsche, H. Nakajima, K. Yoshioka
    • Journal Title

      J. Differential Geom Vol.80

      Pages: 343-390

    • NAID

      10019542192

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340010
  • [Journal Article] Instanton counting and Donaldson invariants2008

    • Author(s)
      L. Goettsche, H. Nakajima and K.Yoshioka
    • Journal Title

      J. Differential Geom Vol.80

      Pages: 343-390

    • NAID

      10019542192

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340010
  • [Journal Article] Instanton counting and Donaldson invariants. J. Differential Geom2008

    • Author(s)
      L. Gottsche, H. Nakajima, K. Yoshioka
    • Journal Title

      80 (2008), no. 3

      Pages: 343-390

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Cristal, canonical and PBW basis of quantum affine algebras2007

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Algebraic group and homogeneous spaces (Tata Institute)論文集

      Pages: 389-421

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Sheaves on ALE spaces and quiver varieties2007

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Mosc. Math. J. 7

      Pages: 699-722

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] インスタントンの数え上げとDonaldson不変量2007

    • Author(s)
      中島啓、吉岡康太
    • Journal Title

      数学(日本数学会) 59

      Pages: 131-153

    • NAID

      10019542192

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] Crystal, canonical and PBW bases of quantum affine algebras.2007

    • Author(s)
      Nakajima, Hiraku
    • Journal Title

      Algebraic groups and homogeneous spaces

      Pages: 389-421

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340010
  • [Journal Article] Sheaves on ALE spaces and quiver varieties2007

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Moscow Math. Journal 7

      Pages: 699-722

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] Sheaves on ALE spaces and quiver varieties2007

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Mosc. Math. J. 7

      Pages: 699-722

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540075
  • [Journal Article] Sheaves on ALE spaces and quiver varieties2007

    • Author(s)
      H. Nakajima
    • Journal Title

      Moscow Math. J. 7

      Pages: 699-722

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Instanton counting and Donaldson invariants (in Japanese)2007

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      Sugaku 59・2

      Pages: 131-153

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340005
  • [Journal Article] Sheaves on ALE spaces and quiver varieties2007

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Moscow Math. Journal 7

      Pages: 699-722

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340007
  • [Journal Article] Sheaves on ALE spaces and quiver varieties.2007

    • Author(s)
      Nakajima, Hiraku
    • Journal Title

      Mosc. Math. J. 7

      Pages: 699-722

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340010
  • [Journal Article] Sheaves on ALE spaces and quiver varieties2007

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Moscow Math.Journal 7 No.4

      Pages: 699-722

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] Sheaves on ALE spaces and quiver varieties2007

    • Author(s)
      H. Nakajima
    • Journal Title

      Mosc. Math. J Vol.7

      Pages: 699-722

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340010
  • [Journal Article] インスタントンの数え上げとDonaldson不変量2007

    • Author(s)
      中島 啓, 吉岡 康太
    • Journal Title

      数学 59・2

      Pages: 131-153

    • NAID

      10019542192

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340005
  • [Journal Article] Level 0 monomial crystals2006

    • Author(s)
      David Hernandez, Hiraku Nakajima
    • Journal Title

      Nagoya Math. J. 184

      Pages: 85-153

    • Data Source
      KAKENHI-PROJECT-18204003
  • [Journal Article] Quiver varieties and quantum affine algebras2006

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Sugaku Expositions vol.19

      Pages: 53-78

    • Data Source
      KAKENHI-PROJECT-16204006
  • [Journal Article] Level O monomial crystals2006

    • Author(s)
      Nakajima, Hiraku, D. Hernandez
    • Journal Title

      Nagoya Math. J. 184

      Pages: 85-153

    • Data Source
      KAKENHI-PROJECT-17340007
  • [Journal Article] Level 0 monomial crystalsm2006

    • Author(s)
      David Hernandez, Hiraku Nakajima
    • Journal Title

      Nagoya Math. J. 184

      Pages: 85-153

    • Data Source
      KAKENHI-PROJECT-18340007
  • [Journal Article] Level 0 monomial crystals2006

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Nagoya Math. J 184

      Pages: 85-153

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540061
  • [Journal Article] Level 0 monomial crystals2006

    • Author(s)
      David Hernandez, Hiraku Nakajima
    • Journal Title

      Nagoya Math. J. 184

      Pages: 85-153

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340005
  • [Journal Article] Level 0 monomial crystals2006

    • Author(s)
      David Hernandez, Hiraku Nakajima
    • Journal Title

      Nagoya Math.J. 184

      Pages: 85-153

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340005
  • [Journal Article] Level 0 monomial crystals2006

    • Author(s)
      H.Nakajima, H.David
    • Journal Title

      Nagoya Math. J 184

      Pages: 85-153

    • Data Source
      KAKENHI-PROJECT-16540061
  • [Journal Article] Quiver varieties and quantum affine algebra2006

    • Author(s)
      Nakajima, Hiraku
    • Journal Title

      Sugaku Expositions 19

      Pages: 53-78

    • Data Source
      KAKENHI-PROJECT-17340007
  • [Journal Article] Level 0 monoidal crystals2006

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Nagoya Math. J. 184

      Pages: 85-153

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540061
  • [Journal Article] Instanton counting on blowup. I. 4-dimensional pure gauge theory2005

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      Invent. Math 162・2

      Pages: 313-355

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340005
  • [Journal Article] Instanton counting on blowup. I. 4-dimensional pure gauge theory.2005

    • Author(s)
      Nakajima, Hiraku, Yoshioka, K/=ota
    • Journal Title

      Invent. Math. 162・2

      Pages: 313-355

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13852001
  • [Journal Article] Instanton counting on blowup. II. $K$-theoretic partition function.2005

    • Author(s)
      H.Nakajima, K.Yoshioka
    • Journal Title

      Transform. Groups 10

      Pages: 489-519

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14204002
  • [Journal Article] Instanton counting on blowup. II. K-theoretic partition funtion2005

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      Transform.Groups 10・3-4

      Pages: 489-519

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340005
  • [Journal Article] Instanton counting on blowup. I. 4-dimensional pure gauge theory2005

    • Author(s)
      Nakajima, Hiraku, Yoshioka, K/=ota
    • Journal Title

      Invent.Math. 162-2

      Pages: 313-335

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13852001
  • [Journal Article] Instanton counting on blowup. I. 4-dimensional pure gauge theory.2005

    • Author(s)
      H.Nakajima, Hiraku, K.Yoshioka
    • Journal Title

      Invent. Math. 162-2

      Pages: 313-355

    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Quiver varieties and t--analogs of q--characters of quantum affine algebras2005

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Ann.of Math. (発表予定)

    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] Instanton counting on blowup. II2005

    • Author(s)
      Nakajima, Hiraku
    • Journal Title

      Transform.Groups 10

      Pages: 489-519

    • Data Source
      KAKENHI-PROJECT-16540061
  • [Journal Article] Instanton counting on blowup. II.K-theoretic partition function.2005

    • Author(s)
      Nakajima, Hiraku, Yoshioka, Kota
    • Journal Title

      Transform.Groups 10・3-4

      Pages: 489-519

    • Data Source
      KAKENHI-PROJECT-15340021
  • [Journal Article] Instanton counting on blowup. I2005

    • Author(s)
      Nakajima, Hiraku
    • Journal Title

      Invent.Math. 162-2

      Pages: 313-355

    • Data Source
      KAKENHI-PROJECT-16540061
  • [Journal Article] Instanton counting on blowup. I2005

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      Invent.Math. (発表予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] Instanton counting on blowup. I. 4-dimensional pure gauge theory.2005

    • Author(s)
      Nakajima, Hiraku, Yoshioka, Kota
    • Journal Title

      Invent.Math. 162-2

      Pages: 313-355

    • Data Source
      KAKENHI-PROJECT-13852001
  • [Journal Article] Instanton counting on blowup. II.$K$-theoretic partition function2005

    • Author(s)
      Nakajima, H., Yoshioka, K.
    • Journal Title

      Transform.Groups 10-3,4

      Pages: 489-519

    • Data Source
      KAKENHI-PROJECT-17340007
  • [Journal Article] Instanton counting on blowup. II. K-theoretic partition funtion2005

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      Transform. Groups 10・3-4

      Pages: 489-519

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340005
  • [Journal Article] Instanton counting on blowup. II. $K$-theoretic partition function.2005

    • Author(s)
      H.Nakajima, K.Yoshioka
    • Journal Title

      Transform.Groups 10

      Pages: 489-519

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14204002
  • [Journal Article] Instanton counting on blowup. II. $K$-theoretic partition function2005

    • Author(s)
      H.Nakajima
    • Journal Title

      Transform.Groups 10

      Pages: 489-519

    • Data Source
      KAKENHI-PROJECT-17340012
  • [Journal Article] Instanton counting on blowup. I. 4-dimensional pure gauge theory2005

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      Invent.Math 162・2

      Pages: 313-355

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340005
  • [Journal Article] Crystal bases and two-sided cells of quantum affine algebras2004

    • Author(s)
      J.Beck, H.Nakajima
    • Journal Title

      Duke Math.J. 123

      Pages: 335-402

    • Data Source
      KAKENHI-PROJECT-14204002
  • [Journal Article] Crystal bases and two-sided cells of quantum affine algebras2004

    • Author(s)
      Jonathan Beck, Hiraku Nakajima
    • Journal Title

      Duke Math. 123

      Pages: 335-402

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] Cells in quantum affine algebras2004

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Algebra Colloquium 11・1

      Pages: 141-154

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] Lectures on instanton Counting2004

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      CRM Proceedings and Lecture Notes 38

      Pages: 31-101

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] Cells in quantum affine algebras. Proceedings of the International Conference on Algebra2004

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Algebra Colloq. 11

      Pages: 141-154

    • Data Source
      KAKENHI-PROJECT-16540061
  • [Journal Article] Extremal weight modules of quantum affine algebras2004

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Adv.Stud.Pure Math. 40

      Pages: 343-369

    • Data Source
      KAKENHI-PROJECT-16540061
  • [Journal Article] Quiver varieties and t--analogs of q-characters of quantum affine algebras2004

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Ann.of Math. 160

      Pages: 1057-1097

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] Lectures on instanton counting2004

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      CRM Proceedings and Lecture Notes 38

      Pages: 31-101

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] Crystal bases and two-sided cells of quantum affine algebras2004

    • Author(s)
      Jonathan Beck, Hiraku Nakajima
    • Journal Title

      Duke Mathmatical Journal 123

      Pages: 335-402

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440006
  • [Journal Article] Crystal bases and two-sided cells of quantum affine algebras2004

    • Author(s)
      Jonathan Beck, Hiraku Nakajima
    • Journal Title

      Duke Mathematical Journal 123

      Pages: 335-402

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440006
  • [Journal Article] Quiver varieties and t--analogs of q--characters of quantum affine algebras2004

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Ann. of Math. 160

      Pages: 1057-1097

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] Crystal bases and two-sided cells of quantum affine algebras2004

    • Author(s)
      Jonathan Beck, Hiraku Nakajima
    • Journal Title

      Duke Math. 123・2

      Pages: 335-402

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] Cells in quantum affine algebras2004

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Algebra Colloquium 11

      Pages: 141-154

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] Lectures on instant on counting2004

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      CRM Proceedings and Lecture Notes 38

      Pages: 31-101

    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] t--analogs of q--characters of Kirillov-Reshetikhin modules of quantum affine algebras2003

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Represent.Theory (elect.) 7

      Pages: 259-274

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] Convolution on homology groups of moduli spaces of sheaves on K3 surfaces2003

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Contemp.Math. 322

      Pages: 75-87

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] Convolution on homology groups of moduli spaces of sheaves on K3 Surfaces2003

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Contemp.Math. 322

      Pages: 75-87

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] t--analogs of q--characters of quantum affine algebras of type A_n, D_n2003

    • Author(s)
      Hiraku Nakajima
    • Journal Title

      Contemp.Math. 325

      Pages: 141-160

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] t-Analogs of q-characters of Kirillov-Reshetikhin modules of quantum affine algebras2003

    • Author(s)
      H.Nakajima
    • Journal Title

      Representation Theory 7

      Pages: 259-273

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340006
  • [Journal Article] Donaldson=Seiberg-Witten from Mochizuki's formula and instanton counting

    • Author(s)
      Goettsche L., Nakajima H., Yoshioka K.
    • Journal Title

      Publ.Res.Inst.Math.Sci.

      Volume: (掲載確定)

    • NAID

      110008425903

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340010
  • [Journal Article] Perverse coherent sheaves on blow-up II. Wall-crossing and Betti numbers formula

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      J. of Alg. Geom. (to appear)

    • NAID

      120005593584

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] Perverse coherent sheaves on blow-up. I. a quiver description

    • Author(s)
      H. Nakajima, K. Yoshioka
    • Journal Title

      Advanced Studies in Pure Mathematics (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340010
  • [Journal Article] Perverse coherent sheaves on blow-up III : Blow-up formula from wall-crossing

    • Author(s)
      Nakajima H., Yoshioka K
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: (掲載確定)

    • NAID

      120005593586

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340010
  • [Journal Article] Counting invariant of perverse coherent sheaves and its wall-crossing

    • Author(s)
      1Kentaro Nagao, Hiraku Nakajima
    • Journal Title

      IMRN, to appear

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Journal Article] Perverse coherent sheaves on blow-up. I. a quiver description

    • Author(s)
      H. Nakajima and K. Yoshioka
    • Journal Title

      Advanced Studies in Pure Mathematics, to appear

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340010
  • [Journal Article] Instanton counting on blowup. I. 4-dimensional pure gauge theory

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      Invent.Math. (to appear)

    • Data Source
      KAKENHI-PROJECT-13852001
  • [Journal Article] Instanton counting on Blowup. I

    • Author(s)
      Hiraku Nakajima, Kota Yoshioka
    • Journal Title

      Invent.Math. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540023
  • [Journal Article] Perverse coherent sheaves on blow-up. II.wall-crossing and Betti numbers formula

    • Author(s)
      H.Nakajima, K.Yoshioka
    • Journal Title

      J.Algebraic Geom. (出版予定 掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340010
  • [Journal Article] Perverse coherent sheaves on blow-up. II. wall-crossing and Betti numbers formula

    • Author(s)
      H. Nakajima, K. Yoshioka
    • Journal Title

      J. Algebraic Geom (to appear)

    • NAID

      120005593584

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340010
  • [Presentation] S-dual varieties and Coulomb branches2024

    • Author(s)
      中島 啓
    • Organizer
      保型形式, 代数幾何, (保型)微分作用素、頂点作用素代数
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03067
  • [Presentation] S-dual varieties and Coulomb branches2024

    • Author(s)
      中島 啓
    • Organizer
      保型形式, 代数幾何, (保型)微分作用素、頂点作用素代数
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Orthosymplectic bow varieties2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Hyperkahler quotients, singularities, and quivers
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches of Orthosymplectic quiver gauge theories2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Berkeley Informal String-Math Seminar
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Gauge Theories and Geometric Representation Theory2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      UNIST International Workshop on Symplectic Singularities and Field Theories with 8 Supercharges
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches and DAHA2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Quantum Field Theories and Representation Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Coulomb branches and S-dual varieties2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      UNIST International Workshop on Symplectic Singularities and Field Theories with 8 Supercharges
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches and singular monopole moduli2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Gauge Theory and Topology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches of 3d N=4 (4d N=2) gauge theories2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Strings in Seoul 2023
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Orthosymplectic bow varieties2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Eastern Hemisphere Colloquium on Geometry and Physics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Gauge Theories and Geometric Representation Theory2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      UNIST International Workshop on Symplectic Singularities and Field Theories with 8 Supercharges
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03067
  • [Presentation] Coulomb branches and DAHA2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Elliptic Integrable Systems, Representation Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches of orthosymplectic quiver gauge theories2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Workshop on Geometric Representation Theory and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches of orthosymplectic quiver gauge theories2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Gauge Theory, Moduli Spaces and Representation Theory
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Coulomb branches of 3d N=4 (4d N=2) gauge theories2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Strings in Seoul 2023
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03067
  • [Presentation] Coulomb branches and DAHA2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Quantum Field Theories and Representation Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches of Orthosymplectic quiver gauge theories2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Berkeley Informal String-Math Seminar
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03067
  • [Presentation] Coulomb branches and singular monopole moduli2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Gauge Theory and Topology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03067
  • [Presentation] Coulomb branches and S-dual varieties2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      UNIST International Workshop on Symplectic Singularities and Field Theories with 8 Supercharges
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03067
  • [Presentation] Coulomb branches of orthosymplectic quiver gauge theories2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Workshop on Geometric Representation Theory and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03067
  • [Presentation] Orthosymplectic bow varieties2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Eastern Hemisphere Colloquium on Geometry and Physics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03067
  • [Presentation] Coulomb branches of orthosymplectic quiver gauge theories2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Gauge Theory, Moduli Spaces and Representation Theory
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] A mathematical definition of Coulomb branches of 3d N=4 SUSY gauge theories2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      International Congress of Basic Sciences
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03067
  • [Presentation] Coulomb branches of orthosymplectic quiver gauge theories2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Workshop on interactions between representation theory, combinatorics, and geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches of orthosymplectic quiver gauge theories2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Workshop on interactions between representation theory, combinatorics, and geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Coulomb branches and DAHA2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      The Geometry of Double Affine Hecke Algebras and Coulomb Branches
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Coulomb branches and DAHA2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      The Geometry of Double Affine Hecke Algebras and Coulomb Branches
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Orthosymplectic bow varieties2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Hyperkahler quotients, singularities, and quivers
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] A mathematical definition of Coulomb branches of 3d N=4 SUSY gauge theories2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      International Congress of Basic Sciences
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] S-dual varieties and Coulomb branches2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Enumerative Geometry in East Asia
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03067
  • [Presentation] Coulomb branches and DAHA2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Elliptic Integrable Systems, Representation Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03067
  • [Presentation] S-dual varieties and Coulomb branches2023

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Enumerative Geometry in East Asia
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Equivariant intersection cohomology of instanton moduli spaces2022

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Field Theories and Vertex Algebras
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Orthosymplectic bow varieties2022

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Geometric Representation Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Symmetric bow varieties2022

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Connections between String Theory and Special Holonomy
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] A mathematical definition of Coulomb branches of 3d N=4 SUSY gauge theories2022

    • Author(s)
      Hiraku Nakajima
    • Organizer
      John Conway Spirited Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Instanton moduli spaces and W-algebras2022

    • Author(s)
      Hiraku Nakajima
    • Organizer
      the trimester program in vertex and chiral algebras
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] カッツ・ムーディー・リー環の幾何学的佐武対応へ向けて2022

    • Author(s)
      中島 啓
    • Organizer
      日本数学会年会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches of 3d N=4 SUSY gauge theories and bow varieties2022

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Workshop on interactions between representation theory, combinatorics, and geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Involutions on symplectic singularities2022

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Vertex algebras and Poisson Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Involutions on quiver varieties and bow varieties2022

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Mini-workshop on Quiver Varieties and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Equivariant intersection cohomology of instanton moduli spaces2022

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Field Theories and Vertex Algebras
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Coulomb branches of 3d N=4 SUSY gauge theories and bow varieties2022

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Workshop on interactions between representation theory, combinatorics, and geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Orthosymplectic bow varieties2022

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Geometric Representation Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] A mathematical definition of Coulomb branches of 3d N=4 SUSY gauge theories2022

    • Author(s)
      Hiraku Nakajima
    • Organizer
      John Conway Spirited Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Geometric Satake correspondence for affine Lie groups2021

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Quantum Fields, Geometry and Representation theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Geometric Satake for affine Lie algebras2021

    • Author(s)
      Hiraku Nakajima
    • Organizer
      MIT infinite dimensional algebra seminar
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] 幾何解析におけるUhlenbeckの研究について2021

    • Author(s)
      中島 啓
    • Organizer
      May 12, Celebration of Women in Mathematics
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Geometric Satake for affine Lie algebras2021

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Berkeley String-Math Seminar
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Symmetric bow varieties2021

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Arithmetic algebraic geometry and mathematical physics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Rozansky-Witten theories with noncompact targets2021

    • Author(s)
      Hiraku Nakajima
    • Organizer
      GeMAT seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches of 3d supersymmetric gauge theories2021

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Mathematics without borders, the centennial of the IMU
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Representations of shifted Yangian2021

    • Author(s)
      Hiraku Nakajima
    • Organizer
      The international workshop on cluster algebras and related topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Symmetric bow varieties and Coulomb branches of quiver gauge theories of classical affine types2021

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Enveloping Algebras and Geometric Representation Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Intersection cohomology groups of instanton moduli spaces and cotangent bundles of affine flag varieties2021

    • Author(s)
      中島 啓
    • Organizer
      第68回幾何学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] A mathematical approach towards Coulomb branches of 3d SUSY gauge theories and related topics2021

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Thematic Program on Arithmetic, Geometry, and Physics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Convolution algebras and a new proof of Kazhdan-Lusztig formula2021

    • Author(s)
      Hiraku Nakajima
    • Organizer
      東大数理談話会
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Quiver gauge theories with symmetrizers2020

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Online Geometry and Physics Seminar, Institute for Advanced Study in Mathematics at Zhejiang University
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras2020

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Leicester Algebra and Geometry Open Online Seminar (LAGOON)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Bow varieties and representations of affine Lie algebras2020

    • Author(s)
      Hiraku Nakajima
    • Organizer
      M-seminar, Kansas State University
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Ginzburg - Riche in geometric Satake for affine Lie algebras2020

    • Author(s)
      Hiraku Nakajima
    • Organizer
      GRT at home seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Bow varieties, aka Coulomb branches of quiver gauge theories of affine type A, and representations of affine Lie algebras2020

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Quantum Geometry in Gauge Theory and Strings
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Euler numbers of Hilbert schemes of points on simple surface singularities2020

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Qolloquium: Quivers, Representations, Resolutions
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Geometric Satake correspondences for Kac-Moody Lie algebras and Coulomb branches of 3d N=4 gauge theories2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Master Lectures - Hiraku Nakajima
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Bow varieties - I, II2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Focus week on quiver varieties
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Introduction to Coulomb branches of 3d N=4 SUSY gauge theories2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Focus week on quiver varieties
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Symmetric bow varieties2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Geometric and analytic aspects of moduli spaces
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Geometric Satake correspondences for Kac-Moody Lie algebras and Coulomb branches of 3d N=4 gauge theories2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Master Lectures - Hiraku Nakajima
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] quantized Coulomb branch とその表現2019

    • Author(s)
      中島 啓
    • Organizer
      表現論シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches of quiver gauge theories and Kac-Moody Lie algebras2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Geometry and Everything, Fukaya 60
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Representations of quantized Coulomb branches of 3d N=4 gauge theories2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Symplectic Geometry Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Representations of quantized Coulomb branches of 3d N=4 gauge theories2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Symplectic Geometry Seminar
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches of quiver gauge theories with symmetrizers2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Theorie symplectique des representations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches of 3d SUSY gauge theories2019

    • Author(s)
      中島 啓
    • Organizer
      東京大学火曜トポロジーセミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] K-theoretic Coulomb branches of gauge theories2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Integrability, Geometry and Moduli
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] K-theoretic Coulomb branches of gauge theories2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Integrability, Geometry and Moduli
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Quiver gauge theories with symmetrizers2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Quantum structures in algebra and geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Bow varieties - I, II2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Focus week on quiver varieties
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Symmetric bow varieties2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Geometric and analytic aspects of moduli spaces
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches of 3d N=4 gauge theories 1,2,32019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      School and Workshop on Gauge Theories and Differential Invariants
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Coulomb branches of quiver gauge theories with symmetrizers2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Theorie symplectique des representations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Coulomb branches of 3d N=4 gauge theories 1,2,32019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      School and Workshop on Gauge Theories and Differential Invariants
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Quiver gauge theories with symmetrizers2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Quantum structures in algebra and geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Introduction to Coulomb branches of 3d N=4 SUSY gauge theories2019

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Focus week on quiver varieties
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K21828
  • [Presentation] Towards geometric Satake correspondence for Kac-Moody algebras2018

    • Author(s)
      Hiraku Nakajima
    • Organizer
      GRT: Geometric Satake and Beyond
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Mathematical predictions/results from class S theories2018

    • Author(s)
      Hiraku Nakajima
    • Organizer
      EGN Colloquium
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Moore-Tachikawa 2d TQFTs whose values are holomorphic symplectic varieties2018

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Southern California Algebraic Geometry Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Moore-Tachikawa 2d TQFTs whose values are holomorphic symplectic varieties2018

    • Author(s)
      中島 啓
    • Organizer
      京都大学談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Introduction to Coulomb branches of 3d N=4 gauge theories from enumerative geometry point of view2018

    • Author(s)
      中島 啓
    • Organizer
      Introductory Workshop: Enumerative Geometry Beyond Numbers
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Quiver gauge theories and Kac-Moody Lie algebras2018

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Structures in Enumerative Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Ring objects in the equivariant derived Satake category and 3d N=4 QFT2018

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Gauge Theory, Geometric Langlands and Vertex Operator Algebras
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Vertex algebras in 4 dimensional theories2018

    • Author(s)
      Hiraku Nakajima
    • Organizer
      SCGP Weekly Talk
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Ring objects in the equivariant derived Satake category and 3d N=4 QFT2018

    • Author(s)
      中島 啓
    • Organizer
      Gauge Theory, Geometric Langlands and Vertex Operator Algebras
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Introduction to Coulomb branches of 3d N=4 gauge theories from enumerative geometry point of view2018

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Introductory Workshop: Enumerative Geometry Beyond Numbers
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Coulomb branches and their resolutions2018

    • Author(s)
      Hiraku Nakajima
    • Organizer
      THROUGH THE LOOKING-GLASS: Mirror Symmetry and Quantum Cohomology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Symplectic varieties and their quantization2017

    • Author(s)
      Hiraku Nakajima
    • Organizer
      AGNES workshop
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Coulomb branches of 3d gauge theories2017

    • Author(s)
      中島 啓
    • Organizer
      Casson不変量に関わる3次元多様体の不変量
    • Place of Presentation
      京都大学数理解析研究所 (京都府・京都市)
    • Year and Date
      2017-01-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Coulomb branches of 3d gauge theories,2017

    • Author(s)
      中島 啓
    • Organizer
      Casson不変量に関わる3次元多様体の不変量
    • Place of Presentation
      京大数理研(京都府京都市)
    • Year and Date
      2017-01-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Ring objects in the derived Satake category from Coulomb branches2017

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Quiver gauge theories and Kac-Moody Lie algebras2017

    • Author(s)
      中島 啓
    • Organizer
      Future Directions in Representation Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Cherkis bow varieties and affine Kac-Moody Lie algebras2017

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Analysis of gauge theoretic moduli spaces
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Ring objects in the derived Satake category from Coulomb branches2017

    • Author(s)
      中島 啓
    • Organizer
      Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Cherkis bow varieties and Coulomb branches2017

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Winter School on Coulomb branches
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories2017

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Gauge Theory and Categorification
    • Place of Presentation
      Institute for Pure and Applied Mathematics(アメリカ)
    • Year and Date
      2017-03-09
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Coulomb branches of 4d N=2 SUSY gauge theories for $\mathbb R^3\times S^1$2017

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Gauge Theory and Low Dimensional Topology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Coulomb branches of 4d N=2 SUSY gauge theories for $\mathbb R^3\times S^1$2017

    • Author(s)
      中島 啓
    • Organizer
      Gauge Theory and Low Dimensional Topology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories2017

    • Author(s)
      H. Nakajima
    • Organizer
      Gauge Theory and Categorification
    • Place of Presentation
      Los Angeles (U.S.A.)
    • Year and Date
      2017-03-09
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Cherkis bow varieties and affine Kac-Moody Lie algebras2017

    • Author(s)
      中島 啓
    • Organizer
      Analysis of gauge theoretic moduli spaces
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Quiver gauge theories and Kac-Moody Lie algebras2017

    • Author(s)
      Hiraku Nakajima
    • Organizer
      the Third Pacific Rim Mathematical Association
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Quiver gauge theories and Kac-Moody Lie algebras2017

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Future Directions in Representation Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Quiver gauge theories and Kac-Moody Lie algebras2017

    • Author(s)
      中島 啓
    • Organizer
      the Third Pacific Rim Mathematical Association
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Cherkis bow varieties and Coulomb branches2017

    • Author(s)
      中島 啓
    • Organizer
      Winter School on Coulomb branches
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories2017

    • Author(s)
      中島 啓
    • Organizer
      auge Theory and Categorification
    • Place of Presentation
      nstitute for Pure and Applied Mathematics, アメリカ
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Symplectic varieties and their quantization2017

    • Author(s)
      中島 啓
    • Organizer
      AGNES workshop
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Coulomb branches of gauge theories2016

    • Author(s)
      Hiraku Nakajima
    • Organizer
      KTGU Mathematics Workshop for Young Researchers
    • Place of Presentation
      京都大学理学部(京都府京都市)
    • Year and Date
      2016-02-23
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Coulomb branches2016

    • Author(s)
      H. Nakajima
    • Organizer
      School - Wall-crossing and quiver varieties
    • Place of Presentation
      Lausanne (Switzerland)
    • Year and Date
      2016-05-25
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Towards a mathematical definition of Coulomb branches of gauge theories2016

    • Author(s)
      H. Nakajima
    • Organizer
      第61回 代数学シンポジウム
    • Place of Presentation
      佐賀大学 (佐賀県・佐賀市)
    • Year and Date
      2016-09-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Coulomb branches2016

    • Author(s)
      Hiraku Nakajima
    • Organizer
      School - Wall-crossing and quiver varieties
    • Place of Presentation
      Ecole Polytechnique Federale de Lausanne,(スイス)
    • Year and Date
      2016-05-25
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Modules of quantized Coulomb branches2016

    • Author(s)
      H. Nakajima
    • Organizer
      Workshop on Hall Algebras Enumerative Invariants and Gauge Theories
    • Place of Presentation
      Toronto (Canada)
    • Year and Date
      2016-11-15
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Quantized Coulomb branches of 3d N=4 gauge theories and difference operators2016

    • Author(s)
      H. Nakajima
    • Organizer
      String Math 2016
    • Place of Presentation
      Paris (France)
    • Year and Date
      2016-06-28
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Cherkis bow varieties2016

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Algebraic Geometry and Integrable Systems
    • Place of Presentation
      神戸大学(兵庫県神戸市)
    • Year and Date
      2016-12-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Cherkis bow varieties2016

    • Author(s)
      H. Nakajima
    • Organizer
      Algebraic Geometry and Integrable Systems
    • Place of Presentation
      神戸大学 (兵庫県・神戸市)
    • Year and Date
      2016-12-05
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Modules of quantized Coulomb branches2016

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Workshop on Hall Algebras, Enumerative Invariants and Gauge Theories
    • Place of Presentation
      Fields Institute ( カナダ)
    • Year and Date
      2016-11-15
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Towards a mathematical definition of Coulomb branches of gauge theories2016

    • Author(s)
      中島 啓
    • Organizer
      第61回 代数学シンポジウム
    • Place of Presentation
      佐賀大学(佐賀県佐賀市)
    • Year and Date
      2016-09-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Introduction to quiver varieties2016

    • Author(s)
      中島 啓
    • Organizer
      環論および表現論シンポジウム
    • Place of Presentation
      大阪府立大学(大阪市堺市)
    • Year and Date
      2016-08-31
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Introduction to quiver varieties2016

    • Author(s)
      H. Nakajima
    • Organizer
      環論および表現論シンポジウム
    • Place of Presentation
      大阪府立大学 (大阪府・堺市)
    • Year and Date
      2016-08-31
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional SUSY gauge theories2016

    • Author(s)
      Hiraku Nakajima
    • Organizer
      第22回複素幾何シンポジウム
    • Place of Presentation
      石川県金沢市
    • Year and Date
      2016-11-03
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] インスタントンのモジュライ空間のコホモロジーと表現論2016

    • Author(s)
      中島 啓
    • Organizer
      Encounter with mathematics
    • Place of Presentation
      中央大学(東京文京区)
    • Year and Date
      2016-10-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional SUSY gauge theories2016

    • Author(s)
      H. Nakajima
    • Organizer
      第22回複素幾何シンポジウム
    • Place of Presentation
      金沢県政記念 しいのき迎賓館 (石川県・金沢市)
    • Year and Date
      2016-11-03
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Coulomb branches of gauge theories2016

    • Author(s)
      Hiraku Nakajima
    • Organizer
      KTGU Mathematics Workshop for Young Researchers
    • Place of Presentation
      京都大学理学部 (京都府京都市)
    • Year and Date
      2016-02-23
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Coulomb branches of gauge theories2016

    • Author(s)
      H. Nakajima
    • Organizer
      KTGU Mathematics Workshop for Young Researchers
    • Place of Presentation
      京都大学 (京都府・京都市)
    • Year and Date
      2016-02-23
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Modules of quantized Coulomb branches2016

    • Author(s)
      中島 啓
    • Organizer
      Workshop on Hall Algebras, Enumerative Invariants and Gauge Theories
    • Place of Presentation
      Fields Institute, カナダ
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] インスタントンのモジュライ空間のコホモロジーと表現論2016

    • Author(s)
      中島 啓
    • Organizer
      Encounter with mathematics
    • Place of Presentation
      中央大学 (東京都・八王子市)
    • Year and Date
      2016-10-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type A2016

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Algebraic Lie Theory and Symplectic Geometry
    • Place of Presentation
      Tsinghua Sanya International Mathematics Forum (中国)
    • Year and Date
      2016-03-22
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Quantized Coulomb branches of 3d N=4 gauge theories and difference operators2016

    • Author(s)
      Hiraku Nakajima
    • Organizer
      String Math 2016
    • Place of Presentation
      College de France, (フランス)
    • Year and Date
      2016-06-28
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Quantized Coulomb branches of 3d N=4 gauge theories and difference operators2016

    • Author(s)
      中島 啓
    • Organizer
      String Math 2016
    • Place of Presentation
      College de France de France, フランス
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06335
  • [Presentation] Coulomb branches and DT invariants2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Derived structures in geometry and representation theory
    • Place of Presentation
      Oxford Univ. (英国)
    • Year and Date
      2015-08-31
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Metric and Analytic Aspects of Moduli Spaces
    • Place of Presentation
      Newton Institute ( Cambridge UK)
    • Year and Date
      2015-07-29
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      H. Nakajima
    • Organizer
      Geometric Unification from Six-Dimensional Physics
    • Place of Presentation
      Banff (Canada)
    • Year and Date
      2015-05-26
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Coulomb branches and refined DT invariants2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Moduli spaces in algebraic geometry and mathematical physics
    • Place of Presentation
      Chern Institute of Mathematics in Tianjin China
    • Year and Date
      2015-09-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Geometric Unification from Six-Dimensional Physics
    • Place of Presentation
      Banff
    • Year and Date
      2015-05-26
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Perverse sheaves on instanton moduli spaces2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Park City Math Institute
    • Place of Presentation
      Park City (米国)
    • Year and Date
      2015-07-13
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      The workshop on 6D gauged theory and invariants of 4-manifolds
    • Place of Presentation
      Beijing International Center for Mathematical Research (中国)
    • Year and Date
      2015-11-13
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Perverse sheaves on instanton moduli spaces2015

    • Author(s)
      H. Nakajima
    • Organizer
      Park City Math Institute
    • Place of Presentation
      Utah (U.S.A)
    • Year and Date
      2015-07-13
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      H. Nakajima
    • Organizer
      Algebraic Lie Theory and Representation Theory 2015
    • Place of Presentation
      岡山いこいの村 (岡山県・瀬戸内市)
    • Year and Date
      2015-06-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional gauge theories2015

    • Author(s)
      H. Nakajima
    • Organizer
      Representation Theory and Geometry of Symplectic Resolutions
    • Place of Presentation
      Boston (U.S.A)
    • Year and Date
      2015-05-19
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Metric and Analytic Aspects of Moduli Spaces
    • Place of Presentation
      Newton Institute (英国)
    • Year and Date
      2015-07-29
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] “Towards a mathematical definition of Coulomb branches of 3-dimensional N = 4 gauge theories”2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Shanghai Conference on Representation Theory
    • Place of Presentation
      Tian He Hotel, Chongming Island, Shanghai China
    • Year and Date
      2015-12-10
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional N = 4 gauge theories2015

    • Author(s)
      H. Nakajima
    • Organizer
      Shanghai Conference on Representation Theory
    • Place of Presentation
      Shanghai (China)
    • Year and Date
      2015-12-10
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3d N = 4 gauge theories Categorification in Algebra2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Algebra, Geometry and Physics
    • Place of Presentation
      Cargse (Corsica France)
    • Year and Date
      2015-05-04
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3d N = 4 gauge theories2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Categorification in Algebra, Geometry and Physics
    • Place of Presentation
      Corsica (フランス)
    • Year and Date
      2015-05-04
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      H. Nakajima
    • Organizer
      The workshop on 6D gauged theory and invariants of 4-manifolds
    • Place of Presentation
      Beijing (China)
    • Year and Date
      2015-11-13
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Geometric Unification from Six-Dimensional Physics
    • Place of Presentation
      (Banff Canada)
    • Year and Date
      2015-05-26
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Coulomb branches and refined DT invariants2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Moduli spaces in algebraic geometry and mathematical physics
    • Place of Presentation
      Chern Institute of Mathematics in Tianjin (中国)
    • Year and Date
      2015-09-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Towards a mathematical denition of Coulomb branches of gauge theories2015

    • Author(s)
      H. Nakajima
    • Organizer
      Representation Theory
    • Place of Presentation
      Institut Mittag-Leffler Seminars
    • Year and Date
      2015-03-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3d N = 4 gauge theories2015

    • Author(s)
      H. Nakajima
    • Organizer
      Categorification in Algebra, Geometry and Physics
    • Place of Presentation
      Cargse, Corsica (France)
    • Year and Date
      2015-05-04
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      H. Nakajima
    • Organizer
      Metric and Analytic Aspects of Moduli Spaces
    • Place of Presentation
      Cambridge (U.K.)
    • Year and Date
      2015-07-29
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Towards a mathematical definition of Coulomb branches of gauge theories, Representation Theory2015

    • Author(s)
      H. Nakajima
    • Organizer
      Institut Mittag-Leffler Seminars,
    • Place of Presentation
      Institut Mittag-Leffler
    • Year and Date
      2015-03-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      The workshop on 6D gauged theory and invariants of 4-manifolds
    • Place of Presentation
      Beijing International Center for Mathematical Research (Beijing China)
    • Year and Date
      2015-11-13
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Coulomb branches and DT invariants2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      “Derived structures in geometry and representation theory"
    • Place of Presentation
      Oxford Univ. (Oxford UK)
    • Year and Date
      2015-08-31
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional N = 4 gauge theories2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Shanghai Conference on Representation Theory
    • Place of Presentation
      Tian He Hotel, Chongming Island, Shanghai (中国)
    • Year and Date
      2015-12-10
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional gauge theories2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Representation Theory and Geometry of Symplectic Resolutions
    • Place of Presentation
      Northeastern Univ. (米国)
    • Year and Date
      2015-05-19
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Coulomb branches and DT invariants2015

    • Author(s)
      H. Nakajima
    • Organizer
      Derived structures in geometry and representation theory
    • Place of Presentation
      Oxford (U.K.)
    • Year and Date
      2015-08-31
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Algebraic Lie Theory and Representation Theory 2015
    • Place of Presentation
      岡山いこいの村(岡山県瀬戸内市)
    • Year and Date
      2015-06-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      表現論および関連する調和解析と微分方程式
    • Place of Presentation
      数理解析研究所
    • Year and Date
      2015-06-24
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      H. Nakajima
    • Organizer
      表現論および関連する調和解析と微分方程式
    • Place of Presentation
      京都大学数理解析研究所 (京都府・京都市)
    • Year and Date
      2015-06-24
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Algebraic Lie Theory and Representation Theory 2015
    • Place of Presentation
      岡山いこいの村 (岡山県瀬戸内市)
    • Year and Date
      2015-06-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Coulomb branches and refined DT invariants2015

    • Author(s)
      H. Nakajima
    • Organizer
      Moduli spaces in algebraic geometry and mathematical physics
    • Place of Presentation
      Tianjin (China)
    • Year and Date
      2015-09-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional gauge theories2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Representation Theory and Geometry of Symplectic Resolutions ,
    • Place of Presentation
      Northeastern Univ. (Boston USA)
    • Year and Date
      2015-05-19
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Perverse sheaves on instanton moduli spaces2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      2015 Graduate Summer School Lecturers
    • Place of Presentation
      Park City Math Institute, Park City (Salt Lake City, USA)
    • Year and Date
      2015-07-13
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Towards a mathematical definition of Coulomb branches of 3-dimensional N=4 gauge theories2015

    • Author(s)
      Hiraku Nakajima
    • Organizer
      表現論および関連する調和解析と微分方程式
    • Place of Presentation
      数理解析研究所(京都府京都市)
    • Year and Date
      2015-06-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Coulomb branches of 3d N=4 gauge theories and motivic DT-invariants2015

    • Author(s)
      中島 啓
    • Organizer
      Representation Theory
    • Place of Presentation
      Institut Mittag-Leffler Seminars
    • Year and Date
      2015-03-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Affine cellularity/quasi-hereditarity of quantum affine algebras and their cousin2014

    • Author(s)
      H. Nakajima
    • Organizer
      ICM 2014 Satellite Conference on Representation Theory and Related Topics
    • Place of Presentation
      Daegu, South Korea
    • Year and Date
      2014-08-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] BGG reciprocity and Betti numbers of quiver varieties2014

    • Author(s)
      H. Nakajima
    • Organizer
      McKay correspondence, orbifolds, quivers
    • Place of Presentation
      University of Warwick, UK
    • Year and Date
      2014-09-16
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] 3-dimensional gauge theory and representation theory2014

    • Author(s)
      中島 啓
    • Organizer
      京都賞ワークショップ
    • Place of Presentation
      京都国際会館
    • Year and Date
      2014-11-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] BGG reciprocity and Betti numbers of quiver varieties2014

    • Author(s)
      H. Nakajima
    • Organizer
      McKay corre-spondence, orbifolds, quivers
    • Place of Presentation
      University of Warwick
    • Year and Date
      2014-09-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] 3-dimensional gauge theory and representation theory2014

    • Author(s)
      H. Nakajima
    • Organizer
      京都賞ワークショップ,
    • Place of Presentation
      京都国際会館
    • Year and Date
      2014-11-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] 3-dimensional gauge theory and representation theory2014

    • Author(s)
      Hiraku Nakajima
    • Organizer
      京都賞ワークショップ
    • Place of Presentation
      京都国際会館
    • Year and Date
      2014-11-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Affine cellularity/quasi-hereditarity of quantum affine algebras and their cousin2014

    • Author(s)
      中島 啓
    • Organizer
      ICM 2014 Satellite Conference on Representation Theory and Related Topics
    • Place of Presentation
      Daegu, South Korea
    • Year and Date
      2014-08-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Coulomb branches of 3d N=4 gauge theories and motivicDT-invariants2014

    • Author(s)
      H. Nakajima
    • Organizer
      Categorical Structures in Harmonic Analysis
    • Place of Presentation
      MSRI, Berkeley
    • Year and Date
      2014-11-17
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Coulomb branches of 3d N=4 gauge theories and motivic DT-invariants2014

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Categorical Structures in Harmonic Analysis
    • Place of Presentation
      MSRI
    • Year and Date
      2014-11-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Coulomb branches of 3d N=4 gauge theories and motivic DT-invariants2014

    • Author(s)
      中島 啓
    • Organizer
      Categorical Structures in Harmonic Analysis
    • Place of Presentation
      MSRI, Berkeley
    • Year and Date
      2014-11-17
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] BGG reciprocity and Betti numbers of quiver varieties2014

    • Author(s)
      H. Nakajima
    • Organizer
      McKay correspondence, orbifolds, quivers
    • Place of Presentation
      University of Warwick
    • Year and Date
      2014-09-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Affine cellularity/quasi-hereditarity of quantum affine algebras and their cousin2014

    • Author(s)
      Hiraku Nakajima
    • Organizer
      ICM 2014 Satellite Conference on Representation Theory and Related Topics
    • Place of Presentation
      Daegu
    • Year and Date
      2014-08-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] `Introduction to quiver varieties'2014

    • Author(s)
      H. Nakajima
    • Organizer
      Introductory School on Derived Categories
    • Place of Presentation
      University of Warwick
    • Year and Date
      2014-09-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Introduction to quiver varieties2014

    • Author(s)
      中島 啓
    • Organizer
      Introductory School on Derived Categories2014
    • Place of Presentation
      University of Warwick
    • Year and Date
      2014-09-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] 3-dimensional gauge theory and representation theory2014

    • Author(s)
      H. Nakajima
    • Organizer
      京都賞ワークショップ
    • Place of Presentation
      京都国際会館
    • Year and Date
      2014-11-12
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] BGG reciprocity and Betti numbers of quiver varieties2014

    • Author(s)
      中島 啓
    • Organizer
      McKay correspondence, orbifolds, quivers
    • Place of Presentation
      University of Warwick
    • Year and Date
      2014-09-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Introduction to quiver varietie2014

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Introductory School on Derived Categories
    • Place of Presentation
      University of Warwick
    • Year and Date
      2014-09-10
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] R-matrices from moduli spaces2014

    • Author(s)
      H.Nakajima
    • Organizer
      International Symposium RIKKYO, MathPhys 2014
    • Place of Presentation
      立教大学
    • Year and Date
      2014-01-11
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Coulomb branches of 3d N=4 gauge theories and motivic DT-invariants2014

    • Author(s)
      H. Nakajima
    • Organizer
      Categorical Structures in Harmonic Analysis
    • Place of Presentation
      SRI, Berkeley, USA
    • Year and Date
      2014-11-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Affine cellularity/quasi-hereditarity of quantum affinealgebras and theircousin2014

    • Author(s)
      H. Nakajima
    • Organizer
      ICM 2014 Satellite Conference on Representation Theory andRelated Topics
    • Place of Presentation
      Daegu, South Korea
    • Year and Date
      2014-08-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Coulomb branches of 3d N=4 gauge theories and motivic DT-invariants2014

    • Author(s)
      H. Nakajima
    • Organizer
      Categorical Structures in Harmonic Analysis
    • Place of Presentation
      MSRI
    • Year and Date
      2014-11-17
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] BGG reciprocity and Betti numbers of quiver varieties2014

    • Author(s)
      Hiraku Nakajima
    • Organizer
      McKay correspondence
    • Place of Presentation
      University of Warwick
    • Year and Date
      2014-09-16
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] cellularity/quasi-hereditarity of quantum affine algebras and their cousin2014

    • Author(s)
      H. Nakajima
    • Organizer
      , ICM 2014 Satellite Conference on Representation Theory and Related Topics
    • Place of Presentation
      Daegu, South Korea
    • Year and Date
      2014-08-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] 3-dimensional gauge theory and representation theory2014

    • Author(s)
      H. Nakajima
    • Organizer
      京都賞ワークショップ
    • Place of Presentation
      京都国際会館
    • Year and Date
      2014-11-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Introduction to quiver varieties2014

    • Author(s)
      H. Nakajima
    • Organizer
      Introductory Schoolon Derived Categories
    • Place of Presentation
      University of Warwick
    • Year and Date
      2014-09-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Perverse sheaves on instanton moduli spaces and AGT conjecture2013

    • Author(s)
      H.Nakajima
    • Organizer
      The 6th MSJ-SI — モジュライ理論の発展
    • Place of Presentation
      数理研, 京都大学
    • Year and Date
      2013-06-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Instanton and representation theory2013

    • Author(s)
      H. Nakajima
    • Organizer
      The 6th MSJ-SI -- Development of Moduli Theory
    • Place of Presentation
      京都大学数理解析研究所 (京都)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Instanton and representation theory2013

    • Author(s)
      Hiraku Nakajima
    • Organizer
      The 6th MSJ-SI ― モジュライ理論の発展
    • Place of Presentation
      数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Integral forms of W-algebras2013

    • Author(s)
      H.Nakajima
    • Organizer
      Workshop on Geometric Correspondences of Gauge Theories
    • Place of Presentation
      ICTP, Trieste
    • Year and Date
      2013-09-11
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Instantons moduli spaces and W-algebras2013

    • Author(s)
      H.Nakajima
    • Organizer
      Quiver varieties
    • Place of Presentation
      SCGP, Stonybrook
    • Year and Date
      2013-10-17
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Representation theory and gauge theory2013

    • Author(s)
      H.Nakajima
    • Organizer
      Quiver varieties
    • Place of Presentation
      SCGP, Stonybrook
    • Year and Date
      2013-10-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Integral forms of W-algebras2013

    • Author(s)
      H.Nakajima
    • Organizer
      String Theory, Integrable Systems and Representation theory
    • Place of Presentation
      数理研, 京都大学
    • Year and Date
      2013-07-31
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Instantons moduli spaces and W-algebras2013

    • Author(s)
      H.Nakajima
    • Organizer
      Representation Theory and applications to Combinatorics, Geometry and Quantum Physics
    • Place of Presentation
      HSE, Moscow
    • Year and Date
      2013-12-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Cluster algebras and singular supports of perverse sheaves2013

    • Author(s)
      H.Nakajima
    • Organizer
      Representation Theory and Categorification, PRIMA2013 conference
    • Place of Presentation
      Shanghai, Jiao Tong University
    • Year and Date
      2013-06-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Perverse sheaves on instanton moduli spaces and AGT conjecture2013

    • Author(s)
      H.Nakajima
    • Organizer
      Moduli Spaces and their Invariants in Mathematical Physics
    • Place of Presentation
      CRM, Montreal
    • Year and Date
      2013-06-03
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] AGT conjecture and perverse sheaves on instanton moduli2012

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Knot homologies and BPS states
    • Place of Presentation
      St. John, Virgin Islands
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Monoidal categorification, revisited2012

    • Author(s)
      中島 啓
    • Organizer
      International Conference on Representations of Algebras
    • Place of Presentation
      Bielefeld University
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Instanton counting and Donaldson invariants2012

    • Author(s)
      中島啓
    • Organizer
      Groupement de Recherche G\'eom\'etrie Alg\'ebrique et G\'eom\'etrie Complexe
    • Place of Presentation
      CIRM, Luminy (フランス)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Coproduct on Yangian2011

    • Author(s)
      中島啓
    • Organizer
      SYMMETRIES, INTEGRABLE SYSTEMS AND REPRESENTATIONS
    • Place of Presentation
      Lyon, France
    • Year and Date
      2011-12-16
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Quiver varieties and tensor products2011

    • Author(s)
      中島啓
    • Organizer
      Derived categories
    • Place of Presentation
      Isaac Newton Institute
    • Year and Date
      2011-04-11
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] インスタントンの数え上げとドナルドソン不変量2011

    • Author(s)
      Hiraku Nakajima
    • Organizer
      臨時講演会(日本数学会年会の中止に伴う)
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-03-22
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Quantum unipotent subgroup and dual canonical basis (after Y.Kimura)2011

    • Author(s)
      中島啓
    • Organizer
      The interaction of representation theory with geometry and combinatorics
    • Place of Presentation
      Hausdorff Institute in Bonn, Germany(招待講演)
    • Year and Date
      2011-02-14
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Donaldson = Seiberg-Witten from Mochizuki's formula and instanton counting2011

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Kaleidoscopic View of Modern Mathematics
    • Place of Presentation
      Institute Henri-Poincare Paris(フランス)(招待講演)
    • Year and Date
      2011-01-10
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Cluster algebras and canonical base2011

    • Author(s)
      中島啓
    • Organizer
      Cluster algebras, representation theory, and Poisson geometry
    • Place of Presentation
      Banff
    • Year and Date
      2011-09-06
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Donaldson=Seiberg-Witten from Mochizuki's formula and instanton counting2011

    • Author(s)
      中島啓
    • Organizer
      Kaleidoscopic View of Modern Mathematics
    • Place of Presentation
      IHES, France(招待講演)
    • Year and Date
      2011-01-10
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Instanton counting and Donaldson invariants2011

    • Author(s)
      中島啓
    • Organizer
      Groupement de Recherche Geometrie Algebrique et Geometrie Complexe
    • Place of Presentation
      Luminy, Francs
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Handsaw quiver varieties and finite W-algebras2011

    • Author(s)
      中島啓
    • Organizer
      Algebras, Quivers, and Representations, 2011 Abel Symposium
    • Place of Presentation
      Sognefjord, Norway
    • Year and Date
      2011-05-21
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Quiver varieties and crystal bases of quantum affine algebra2010

    • Author(s)
      Hiraku Nakajima
    • Organizer
      NSF-CBMS Conferences
    • Place of Presentation
      North Carolina State University, USA
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Quiver varieties and cluster algebras2010

    • Author(s)
      Hiraku Nakajima
    • Organizer
      London Math.Soc.Hardy lectures
    • Place of Presentation
      Edinburgh大学(UK)(招待講演)
    • Year and Date
      2010-06-18
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Quiver varieties and cluster algebras, I, II, III2010

    • Author(s)
      中島啓
    • Organizer
      Derived categories of Algebro-Geometric origin and integrable systems, the 15th Midrasha Mathmaticae
    • Place of Presentation
      Jerusalem, Israel(招待講演)
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Instanton counting and Donaldson invariants2010

    • Author(s)
      中島啓
    • Organizer
      Hardy Lectures
    • Place of Presentation
      London
    • Year and Date
      2010-07-02
    • Data Source
      KAKENHI-PROJECT-22340010
  • [Presentation] Quiver varieties and cluster algebras2010

    • Author(s)
      Hiraku Nakajima
    • Organizer
      London Math.Soc.Hardy lectures
    • Place of Presentation
      Leeds大学(UK)(招待講演)
    • Year and Date
      2010-06-22
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Instanton counting and Donaldson invariants2010

    • Author(s)
      中島啓
    • Organizer
      Hardy Lecture
    • Place of Presentation
      London Math.Soc., England(招待講演)
    • Year and Date
      2010-07-02
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Quiver varieties and crystal bases of quantum affine algebra2010

    • Author(s)
      Hiraku Nakajima
    • Organizer
      NSF-CBMS Conferences
    • Place of Presentation
      North Carolilna State University (USA)(招待講演)
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Instanton counting and Donaldson invariants2010

    • Author(s)
      Hiraku Nakajima
    • Organizer
      London Math.Soc.Hardy lectures
    • Place of Presentation
      London
    • Year and Date
      2010-07-02
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Quiver varieties and double affine Grassmann2010

    • Author(s)
      Hiraku Nakajima
    • Organizer
      London Math.Soc.Hardy lectures
    • Place of Presentation
      Oxford, UK
    • Year and Date
      2010-06-28
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Instanton counting and Donaldson invariants2010

    • Author(s)
      Hiraku Nakajima
    • Organizer
      London Math.Soc.Hardy lectures
    • Place of Presentation
      London Math.Soc.(UK)(招待講演)
    • Year and Date
      2010-07-02
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Quiver varieties and double affine Grassmann2010

    • Author(s)
      Hiraku Nakajima
    • Organizer
      London Math.Soc.Hardy lectures
    • Place of Presentation
      Oxford大学(UK)(招待講演)
    • Year and Date
      2010-06-28
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Cluster algebras and quantum affine algebras2010

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Representation Theory of Algebraic Groups and quantum groups
    • Place of Presentation
      名古屋大学(招待講演)
    • Year and Date
      2010-08-03
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Quiver varieties and crystal bases of quantum affine algebras2010

    • Author(s)
      中島啓(招待講演)
    • Organizer
      NSF-CBMS Conferences
    • Place of Presentation
      North Carolilna State University, USA(招待講演)
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Quiver varieties and cluster algebras2010

    • Author(s)
      Hiraku Nakajima
    • Organizer
      London Math.Soc.Hardy lectures
    • Place of Presentation
      Leeds, UK
    • Year and Date
      2010-06-22
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Quiver varieties and cluster algebras, I, II, III2010

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Derived categories of Algebro-Geometric origin and integrable systems, the 15th Midrasha Mathmaticae
    • Place of Presentation
      The Institute for Advanced Studies of Jerusalem(イスラエル)(招待講演)
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Quiver varieties and cluster algebras, I, II, III, Derived categories of Algebro-Geometric origin and integrable systems2010

    • Author(s)
      Hiraku Nakajima
    • Organizer
      the 15th Midrasha Mathmaticae
    • Place of Presentation
      Jerusalem
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Donaldson = Seiberg-Witten from Mochizuki's formula and instanton counting2010

    • Author(s)
      Hiraku Nakajima
    • Organizer
      The 5th Pacific Rim Complex and Symplectic Geometry Conference 2010
    • Place of Presentation
      名古屋大学(招待講演)
    • Year and Date
      2010-07-26
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Instanton counting and wall-crossing in Donaldson invariants, Quiver varieties2009

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Donaldson-Thomas invariants and instantons
    • Place of Presentation
      CIRM, Luminy
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Quiver varieties and cluster algebras2009

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Summer School and Conference in Geometric Representation Theory and Extended Affine Lie Algebras
    • Place of Presentation
      University of Ottawa, Ontario, Canada
    • Year and Date
      2009-07-01
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Donaldson = Seiberg- Witten from Mochizuki's formula and instanton counting for the theory with a fundamental matter2009

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Mirror Symmetry and Gromov-Witten Invariants
    • Place of Presentation
      東京大学
    • Year and Date
      2009-12-07
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Quiver varieties and cluster algebras2009

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Summer School and Conference in Geometric Representation Theory and Extended Affine Lie Algebras
    • Place of Presentation
      Univ.Ottawa, Canada
    • Year and Date
      2009-07-01
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Perverse Coherent Sheaves on Blow-up2009

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Arithmetic Geometry and Moduli Spaces in Algebraic Geometry
    • Place of Presentation
      Hang-Zhou, China
    • Year and Date
      2009-08-25
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Instanton counting and wall-crossing in Donaldson invariants2009

    • Author(s)
      中島啓
    • Organizer
      Mirror symmetry and related topics
    • Place of Presentation
      Univ. of Miami
    • Data Source
      KAKENHI-PROJECT-18340010
  • [Presentation] Instanton counting and wall-crossing in Donaldson invariants2009

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Quiver varieties, Donaldson-Thomas invariants and instantons
    • Place of Presentation
      CIRM, Luminy
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Donaldson=Seiberg-Witten from Mochizuki's formula and instanton counting for the theory with a fundamental matter2009

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Mirror Symmetry and Gromov-Witten Invariants
    • Place of Presentation
      University of Tokyo
    • Year and Date
      2009-12-07
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Quiver varieties and double affine Grassmannian2008

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Bert Kostant's 80th birtday conference
    • Place of Presentation
      ブリティッシュ・コロンビア大学(カナダ)
    • Year and Date
      2008-05-19
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Quiver varieties and double affine Grassmannian2008

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Bert Kostant's 80th birtday conference
    • Place of Presentation
      ブリテイッシュ・コロンビア大学 (カナダ)
    • Year and Date
      2008-05-19
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Quiver varieties and double affine Grassmannian2008

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Bert Kostant's 80th birthday conference
    • Place of Presentation
      バンクーバー、カナダ
    • Year and Date
      2008-05-19
    • Data Source
      KAKENHI-PROJECT-19340006
  • [Presentation] Conjectural triplly graded link homology groups of the Hopf link and Hilbert schemes of points on the plane2008

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Princeton University Symplectic geometry seminar
    • Place of Presentation
      Princeton University
    • Year and Date
      2008-02-29
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Wall-crossing for moduli of perverse coherent, sleaves2008

    • Author(s)
      中島啓
    • Organizer
      Moduli spaces and birational geometry
    • Place of Presentation
      数理解析研究所
    • Data Source
      KAKENHI-PROJECT-18340010
  • [Presentation] Instanton counting and knot invariants2007

    • Author(s)
      Hiraku Nakajima
    • Organizer
      New connections of representation theory to algebraic geometry and physics
    • Place of Presentation
      プリンストン大学高等研究所
    • Year and Date
      2007-09-28
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Wall crossing formula for Donaldson invariants and instanton counting2007

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Pasific Rim complex geometry conference
    • Place of Presentation
      ホテル北野プラザ六甲荘
    • Year and Date
      2007-08-10
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Coproduct on Yangian

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Perspectives in Representation Theory
    • Place of Presentation
      Yale University, New Haven
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Perverse sheaves on instanton moduli spaces and AGT conjecture

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Moduli Spaces and their Invariants in Mathematical Physics
    • Place of Presentation
      CIRM Montreal, USA
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Cluster algebras and canonical base

    • Author(s)
      中島啓
    • Organizer
      Cluster algebras, representation theory, and Poisson geometry
    • Place of Presentation
      Banff (カナダ)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] AGT conjecture and convolution algebras

    • Author(s)
      中島啓
    • Organizer
      Progress in Quantum Field Theory and String Theory
    • Place of Presentation
      大阪市立大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Opers and instantons

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Geometry and Analysis on Manifolds A Memorial Symposium for Professor Shoshichi Kobayashi
    • Place of Presentation
      東京大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Handsaw quiver varieties and finite W-algebras

    • Author(s)
      中島啓
    • Organizer
      Algebras, Quivers, and Representations, 2011 Abel Symposium
    • Place of Presentation
      Sognefjord (ノルウェー)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Coproduct on Yangian

    • Author(s)
      中島啓
    • Organizer
      SYMMETRIES, INTEGRABLE SYSTEMS AND REPRESENTATIONS
    • Place of Presentation
      Lyon (フランス)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Instantons and W-algebras

    • Author(s)
      Hiraku Nakajima
    • Organizer
      第8回代数・解析・幾何学セミナー
    • Place of Presentation
      鹿児島大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Instantons moduli spaces and W-algebras

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Quiver varieties
    • Place of Presentation
      SCGP, Stony Brook, USA
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220701
  • [Presentation] Monoidal categorification, revisited

    • Author(s)
      Hiraku Nakajima
    • Organizer
      ICRA 2012
    • Place of Presentation
      Bielefeld, Germany
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Cluster algebras and singular supports of perverse sheaves

    • Author(s)
      中島 啓
    • Organizer
      Interactions between Noncommutative Algebra, Representation Theory, and Algebraic Geometry
    • Place of Presentation
      MSRI, Berkeley
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Cluster algebras and singular supports of perverse sheaves

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Interactions between Noncommutative Algebra, Representation Theory, and Algebraic Geometry
    • Place of Presentation
      MSRI, Berkeley
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Quiver varieties and tensor products

    • Author(s)
      中島啓
    • Organizer
      Derived categories
    • Place of Presentation
      The Isaac Newton Institute for Mathematical Sciences in Cambridge (英国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Instantons moduli spaces and W-algebras

    • Author(s)
      中島 啓
    • Organizer
      Quiver varieties
    • Place of Presentation
      SCGP, Stony Brook
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Instanton moduli spaces and W-algebras

    • Author(s)
      H.Nakajima
    • Organizer
      Chern-Simons reserach lectures
    • Place of Presentation
      UC Berkeley
    • Year and Date
      2013-12-02 – 2013-12-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Perverse sheaves on instanton moduli spaces and AGT conjecture

    • Author(s)
      中島 啓
    • Organizer
      Moduli Spaces and their Invariants in Mathematical Physics
    • Place of Presentation
      CIRM Montreal, Canada
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244003
  • [Presentation] Instanton and representation theory

    • Author(s)
      H.Nakajima
    • Organizer
      The 6th MSJ-SI — モジュライ理論の発展
    • Place of Presentation
      数理研, 京都大学
    • Year and Date
      2013-06-11 – 2013-06-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • [Presentation] Cluster algebras and singular supports of perverse sheaves

    • Author(s)
      H. Nakajima
    • Organizer
      Interactions between Noncommutative Algebra, Representation Theory, and Algebraic Geometry
    • Place of Presentation
      MSRI (Berkeley, USA)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224001
  • [Presentation] Quiver varieties and tensor products

    • Author(s)
      Hiraku Nakajima
    • Organizer
      Workshop on geometric representation theory
    • Place of Presentation
      Kyoto
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340005
  • 1.  FUKAYA Kenji (30165261)
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