MURAKAMI Jun 村上順

… Alternative Names

村上順ムラカミジュン

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Researcher Number	90157751
Other IDs
Affiliation (Current)	2025: 早稲田大学, 理工学術院, 教授
Affiliation (based on the past Project Information) *help	2004 – 2024: WESEDA UNIV., GRADUATE SCHOOL OF SCIENCE AND ENGINEERING, PROFESSOR, 理工学術院, 教授 2015: 早稲田大学, 理工学術院基礎理工学部, 教授 2007: 早稲田大学, 理工学部, 教授 2002 – 2003: 早稲田大学, 大学院・理工学研究科, 教授 2001 – 2003: Waseda University, School of Science and Engineering, Professor, 理工学部, 教授 … More 1996 – 2002: Osaka University, Mathematics, Associate Professor, 大学院・理学研究科, 助教授 2001: 早稲田大学, 理工学部・数理科学科, 教授 1999: 大阪大学, 大学院・数理科学研究科, 助教授 1993 – 1995: OSAKA UNIV., DEPT.MATHEMATICS ASSOCIATE PROFESSOR, 理学部, 助教授 1989 – 1991: 大阪大学, 理学部, 講師 1988: 大阪大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Global analysis / Basic Section 11020:Geometry-related / Basic Section 11020:Geometry-related / Medium-sized Section 11:Algebra, geometry, and related fields / Algebra, Geometry, and related fields / Basic analysis / Geometry Except Principal Investigator Geometry / Algebra … More / 代数学・幾何学 / Algebra / Geometry / Intelligent informatics / General mathematics (including Probability theory/Statistical mathematics) / Mathematical physics/Fundamental condensed matter physics / Global analysis Less
Keywords	Principal Investigator 結び目 / 量子不変量 / 結び目理論 / 表現論 / 3次元多様体 / ３次元多様体 / 量子群 / 双曲幾何学 / 双曲幾何 / 体積予想 … More / 双曲構造 / 体積 / ウェブ図 / コード図 / ジョーンズ多項式 / 量子展開環 / 結び目不変量 / 射影表現 / 低次元トポロジー / 有限型不変量 / 位相幾何学 / リーマン面 / 量子摂動不変量 / 写像類群 / 低次元位相幾何 / 絡み目 / ヘニングス不変量 / 双曲多様体 / 結び目群 / 指標多様体 / 低次元位相幾何学 / Mapping Class Groups / TQFTs / Mapping class groups / Skein Algebras / TQFT's / Quantum Invariants / Quantum Topology / 複素化 / 双曲四面体 / 双曲３次元多様体 / 空間グラフ / 量子 6j 記号 / 双曲多面体 / 表現 / 量子化 / SL(2) 表現 / 基本群 / ホップ代数 / finite type invariant / quantum invariant / vertey operator algebra / representation theory / 3-dimensional manifold / Knot theory / Riemann surface / 有限群 / 共形場理論 / 頂点作用素代数 / 3次元多様体論 / 射影加群 / 多面体 / 作用素環 / 可積分系 / 組紐群 / TQFT / 可解リー環 / 3次元多様化 / ヤコビ図 / 普遍摂動不変量 / コンツェビッチ不変量 / ファイマン図 / バシリフ不変量 / キャッソン不変量 / ゼータ関数 / ブレイド群 … More Except Principal Investigator 結び目 / 写像類群 / 共形場理論 / 3次元多様体 / モジュライ空間 / 量子群 / ヘッケ環 / knot / 頂点作用素代数 / 組みひも群 / 楕円曲線 / 体積予想 / mapping class group / moduli space / ジョーンズ多項式 / 配置空間 / Riemann surface / 量子不変量 / ヤコビ多様体 / ループ空間 / グラフ / リーマン面 / KZ方程式 / 有限型位相不変量 / 反復積分 / フォード領域 / 錐多様体 / 等分方程式 / volume conjecture / Jones polynomial / 多重ゼータ値 / 3-manifold / 超幾何積分 / 表現論 / 擬フックス群 / ヘガード分解 / Torelli group / configuration space / loop space / conformal field theory / 点の配置の空間 / トレリ群 / ゼータ関数 / アフィン空間 / 開代数曲面 / Elliptic curve / Hecke algebra / 基本群 / ホップ代数 / 代数群 / モジュラー形式 / 不変式 / ガロア群 / 代数曲線 / ガロア理論 / ゲージ理論 / 位相不変量 / 4次元多様体 / 絶対ガロア群 / モノドロミー表現 / Vassiliev不変量 / 曲面束 / ファイバー結び目 / 標準的分解 / 2橋結び目 / 双曲構造 / 手術表示 / 周期絡み目 / 軌道体 / 解消トンネル / 単体的複体 / 凸多面体 / 数式処理 / ガロワ拡大 / 虚数乗法 / 神経回路網 / 量子表現 / 超平面配置 / モース理論 / 高次圏 / 超幾何関数 / 擬テータ関数 / 2重アイゼンシュタイン級数 / 2重ゼータ値 / 有限多重ゼータ値 / 多重ベルヌーイ数 / 共系場理論 / 準モジュラー形式 / Akutsu-Deguchi-Ohtsuki invariant / 体積 / 阿久津・出口・大槻不変量 / A-多項式 / Drinfeld associator / KZ equation / multiple polylogarithm / multiple zeta value / アソシエータ / 多重(高次)対数関数 / 接続問題 / Drinfel'd associator / Drinfeld Associator / 多重対数関数 / 多重ゼーダ値 / Gaussian Periods / Meta abelian Group / Cyclic Polynomial / Noether's Problem / Generic Polynomial / Inverse Galois Problems / Galois Group / Galois Theory / Generic Polynomials / Stable derivarion algebra / Abelian surface / Modular forms / Z_p extension / Inverse Galois problem / Generic polynomials / Galois theory / ガウス周期 / メタアーベル群 / 巡回多項式 / ネーターの問題 / 生成的多項式 / ガロア逆問題 / invariant / 不変量 / graph / lowdimensional topology / quantum ivariant / 絡み目 / 低次元トポロジー / non-commutitire geometry / Volume conjecture / 3-dimensional manifold / Grothendieck-teichmuller group / Floer homotopy type / tautological代数 / シンプレクティック群 / Mumford-Morita-Miller類 / 超楕円写像類群 / 面積保存微分同相群 / 葉層曲面バンドル / Seiberg-witten理論 / Grothendieck-Teichmullerモジュラー群 / 森田Mumford類 / Seiberg-Witten理論 / 面積保存微分同相 / 葉層曲面束 / 非可換幾何 / Grothendieck-Teichmuller群 / Floerホモトピー型 / quasifuchisian space / McShane's indentity / Epstein-Penner docomposition / punctured torus / hyperbolic manifolds / Zariski pair / finite Galois coverings / fundamental group / 穴あきトーラス群 / Epatein-Penner分解 / 理想多面体分割 / カスプ付き双曲多様体 / 退化族 / 有限分岐被覆 / 双曲空間 / 擬フックス空間 / McShaneの等式 / Epstein-Penner分解 / 穴あきトーラス / 双曲多様体 / Zariski対 / 有限ガロア被覆 / Poisson structure / braid group / iterated integral / バー複体 / 点の配置空間 / 超平面アレンジメント / ポアソン構造 / knot invariants / quantum groups / complex reflection groups / finite Chevalley groups / Hecke algebras / affine Lie algebras / 結び目不変量 / 複素鏡映群 / 有限シュヴァレー群 / アフィン・リー代数 / Number theory / Representaion theory / Vertex operator algebras / Toroidal superalgebras / Quantum groups / Superalgebras / 岩堀ヘッケ代数 / 量子包絡超代数 / 偏微分方程式 / 数理物理学 / スーパーリー代数 / 整数論 / 現論 / トロイダル超代数 / 超代数 / monodromy / family of Riemann surfaces / ジョンソン準同形 / ジョンソン準同型 / モノドロミー / リーマン面の族 / lranch and bound lechuzue / a prior knowledge / machine learning / Baysian Networks / MDL principle / ネットワーク構造 / 帰納推論 / 分岐限定法 / 事前知識 / 機械学習 / Bayesian Network / MDL原理 / once-punctured forus / quasi-Fuchsian group / 2-bridge knot / cone-manifold / hyperbolic structure / Heegaard splitting / 穴開きトーラス / コーン多様体 / 放物的変換 / Riley slice / 離散性判定 / 凝フックス群 / 一点穴開きトーラス / L operators / vertex operator algebra / semilinear elliptic equation / Schrodinger operator / Schur function / nilpotent Lie algebras / Onsager algebra / 巾零リー環 / 可解リー環 / 完全積分可能系 / principal realization / A^<(1)>_1 / L作用素 / 準線型楕円型方程式 / ミュレディンガー作用素 / Schur関数 / 冪零リー環 / オンサーガー代数 / topological invariant / Calabi-Yau manifold / Twistor space / Finite graph / Homology plane / Jacobian Conjecture / Affine space / Algebraic variety / 強擬凸領域 / Kontsevich不変量 / アルゴリズム / 有限生成性 / 次数最小埋め込み / 平面アフィン曲線 / 自己同型写像 / 組み合わせ論 / 群作用 / 位相的不変量 / Calabi-Yau多様体 / ツィスター空間 / 有限グラフ / ホモロジー平面 / ジャコビアン予想 / 代数多様体 / finite type invariants / グロモフ-ウィッテン不変量 / 曲面のモジュライ空間 / ファインマン図形 / チャーン-サイモンズ摂動理論 / 位相的場の理論 / ウィッテン不変量 / 原始積分 / カシャエフ予想 / バシリエフ不変量 / チャーン・サイモンズ理論 / Class fields / Automorphic function / Taniyama-Shumura conjecture / Limit-formula / Computer algbra / 加法公式 / 二次体の類数 / 複素関数の表示法 / 実験数学 / レ-マン面 / 類体の構成 / 保型関数 / 谷山-志村予想 / 極限公式 / BMW algebra / Surface of general type / Quantum invariant / Hodge structure / Log geometry / Hyper Kahler manifold / Open algebraic surfaces / Theorem of Abhyankar-Moh / 射影代数多様体 / 代数群の作用 / BMW代数 / 一般型代数曲面 / Hodge構造 / Log幾何学 / 超ケーラー多様体 / Abhyankar-Mohの定理 / Galois group / Division points / Abelian variety / Jacobian variety / Algebraic curve / 有理点群 / 超楕円曲線 / ガロワ群 / 等分点 / アーベル多様体 / Alexander polynomial / Lefschetz ring / Knot / Burnside ring / Homotopy representation / Cobordism / Fixed point theorems / Whitehead群 / 埋め込み / Lefschetz環 / 線型表現 / 制限準同型 / 誘導準同型 / Lefachety環 / G同相 / G-sコボルディズム / コンパクト・リー群 / アレクサンダー多項式 / レフシェッツ環 / バーンサイド環 / ホモトピー表現 / コボルディズム / 不動点定理 / Super Lie algebra / Singularity / Quantum group / Knot invariant / Ernst equation / テンパリー・リーブ代数 / ベルグマン核 / オービホールド / ヘーガード分解 / エルンスト方程式 / デル・ペッツオ曲面 / 局所ワイル群 / 超リー代数 / 特異点 / ルート系 / 重力場 / 絡み目の不変量 / 半単純リー環の共役類 / 既約表現 / 有限群 / 双曲体積 / ムーンシャイン / トポロジー / 量子トポロジー / 数理物理 / 生成多項式 / 有理関数体 / クレモナ変換群 / ネーター問題 / ガロアの逆問題 / Morita-Mumford類 / 実解析的微分同相群 / 有限型不変量 / 葉層構造 / Hamiltonベクトル場 / 微分同相群 / ホモロジー3球面 / ホモロジーシリンダー / 量子化予想 / 局所化 / シンプレクティック微分 / Gel'fand-Kalinin-Fuks理論 / 葉層構造の特性類 / 自由群 / シンプレクティック幾何学 / 無限次元代数 / テンソル圏 / モジュラー / 作用素環論 / セルバーグ積分 / タイヒミュラー群 / ドリンフェルトアソシエータ / Hodge理論 / 多重ゼータ関数 / テータ関数 / 離散群 / Riley Slice / 錐多樣体 / ベッチ数列 / 極小自由分解 / Hilbert函数 / Cohen-Macaulay環 / 比較可能グラフ / 有限半順序集合 / 共形ベクトル / ボゾン / 頂点代数 / Kruskal-Katona定理 / グレブナ-基底 / Cohen-Macaulay型 / 単項式イデアル / 有限自由分解 / 多項式環 / 内的シミュレ-ション / メタレベル表現 / 動的パ-タン学習 / オ-トマン / YangーBaxter方程式 / Alexander多項式 / 組み紐群 / ケ-ラ-アインシュタイン多様体 / Sーコボルディズム / 誘導定理 / ホワイトヘッド群 / 分解法則 / 類体論 / 環境 / 力学系 / オ-トマトン / アトラクタ / 認識 / 学習 / 動的パタ-ン / 有限群の表現 / リ-環 / 可解格子模型 / 変換群 / 多元環の表現 Less

Research on a complexification of hyperbolic tetrahedraPrincipal Investigator
- Principal Investigator
  
  村上順
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Waseda University
Study on geometric structure of three manifolds from the viewpoint of quantum invariantsPrincipal Investigator
- Principal Investigator
  
  村上順
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Waseda University
Diagramatic construction of non-semisimple TQFTPrincipal Investigator
- Principal Investigator
  
  村上順
- Project Period (FY)
  2019 – 2020
- Research Category
  
  Grant-in-Aid for JSPS Fellows
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Waseda University
Quantization of the fundamental group by dual quantum groupPrincipal Investigator
- Principal Investigator
  
  Murakami Jun
- Project Period (FY)
  2017 – 2020
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Research Field
  
  Algebra, Geometry, and related fields
- Research Institution
  Waseda University
Discrete quantization of low-dimensional geometry with quantum invariantsPrincipal Investigator
- Principal Investigator
  
  Murakami Jun
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Waseda University
Study in phantom of the quantum groupsPrincipal Investigator
- Principal Investigator
  
  Murakami Jun
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
Quantum Topology and Modular Forms in Mathematical Physics
- Principal Investigator
  
  HIKAMI Kazuhiro
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Mathematical physics/Fundamental condensed matter physics
- Research Institution
  Kyushu University
Study of modular/quasimodular forms and multiple zeta values appearing in various aspects of mathematics and physics
- Principal Investigator
  
  Kaneko Masanobu
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Iterated integrals, geometric structures of configuration spaces and applications to quantum topological invariants
- Principal Investigator
  
  Kohno Toshitake
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Representations of the quantum groups at roots of unity and its application to knot theoryPrincipal Investigator
- Principal Investigator
  
  MURAKAMI Jun
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Geometry of Groups and Moduli Spaces (2)
- Principal Investigator
  
  MORITA Shigeyuki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Noether's Problem for Cremona Groups over algebraic number fields and its application to Number theory
- Principal Investigator
  
  HASHIMOTO Kiichiro
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
Study on geometry of knots and three manifolds by using representation theory of quantum groupsPrincipal Investigator
- Principal Investigator
  
  MURAKAMI Jun
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
共形場理論,作用素環論とモジュラーなテンソル圏
- Principal Investigator
  
  永友清和
- Project Period (FY)
  2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
General research of the volume conjecture of knots
- Principal Investigator
  
  YOKOTA Yoshiyuki
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Metropolitan University
Construction of Generic Polynomials in Galois Theory and application to Number Theory
- Principal Investigator
  
  HASHIMOTO Kiichiro
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
Algebro-analytical study on special functions appeared in number theory
- Principal Investigator
  
  UENO Kimio
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
GEOMETRY OF 3-MANIFOLDS AND QUANTUM INVARIANTS
- Principal Investigator
  
  YOKOTA Yoshiyuki
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
Mapping Class Group of Surfaces and Geometry of Moduli Spaces
- Principal Investigator
  
  MORITA Shigeyuki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
低次元トポロジーの総合的研究
- Principal Investigator
  
  MURAKAMI Hitoshi
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Topology related to invariants of knots and 3-manifolds
- Principal Investigator
  
  OHTSUKI Tomotada
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
  Tokyo Institute of Technology
Representation theory of Algebraic Groups and Quantum Groups
- Principal Investigator
  
  KAWANAKA Noriaki
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
De Rham Theory of Loop Spaces and Quantum Topological Invariants
- Principal Investigator
  
  KOHNO Toshitake
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Heegaad splittings of 3-dimensional manifolds and geometric structures
- Principal Investigator
  
  NAMBA Makoto, 作間誠
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  OSAKA UNIVERSITY
ウェブ図の代数的研究Principal Investigator
- Principal Investigator
  
  村上順
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Waseda University
  Osaka University
共形場理論におけるモノドロミーのガロア表現への応用
- Principal Investigator
  
  KOHNO Toshitake
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
結び目の解消トンネルと双曲構造
- Principal Investigator
  
  SAKUMA Makoto
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Osaka University
Quantum structure of Riemann surfaces and its application to low-climensional topologyPrincipal Investigator
- Principal Investigator
  
  MURUKAMI Jun
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  Osaka University
STRUCTURE OF THE MAPPING CLASS GROUP AND GEOMETRY OF THE MODULI SPACE OF RIEMANN SURFACES
- Principal Investigator
  
  MORITA Shigeyuki
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Geometry
- Research Institution
  University of Tokyo
Representation theory of the quantized enveloping algebras and the quantized enveloping superalgebras
- Principal Investigator
  
  YAMANE Hiroyuki
- Project Period (FY)
  1998 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
表現論における新手法の研究Principal Investigator
- Principal Investigator
  
  村上順
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Topological Field Theory and Related Geometry
- Principal Investigator
  
  KOHNO Toshitake
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Rational Curves on Algebraic Varieties
- Principal Investigator
  
  MIYANISHI Masayoshi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Completely integrable systema and representation theory of infinite dimen-sional algebras
- Principal Investigator
  
  DATE Etsuro
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Heegaand spliffings and hyperbolic structures of 3-manifolds
- Principal Investigator
  
  SAKUMA Makoto
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
Learning Baysian Networks based on the MDL principle
- Principal Investigator
  
  SUZUKI Joe
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Intelligent informatics
- Research Institution
  Osaka University
頂点作用素代数の数理物理学への応用
- Principal Investigator
  
  NAGATOMO Kiyokazu
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
有限半順序集合の組合せ論における代数的基礎理論の研究
- Principal Investigator
  
  日比孝之
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
ファインマン図を用いた幾何や数理物理の新しい手法とその応用Principal Investigator
- Principal Investigator
  
  村上順
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Experimental Method of Mathematics
- Principal Investigator
  
  YAMAMOTO Yoshihiko
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University
結び目や3次元多様体の表現論的な手法を用いた分類Principal Investigator
- Principal Investigator
  
  村上順
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka University
単項式イデアルの極小自由分解の研究
- Principal Investigator
  
  HIBI Takayuki
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Geometric Study of Algebraic Systems
- Principal Investigator
  
  MIYANISHI Masayoshi
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
ブレイド群の表現論Principal Investigator
- Principal Investigator
  
  村上順
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Arithmetics on Jacobian Varieties
- Principal Investigator
  
  YAMAMOTO Yoshihiko
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Fixed point theorems and cobordism
- Principal Investigator
  
  KAWAKUBO Katsuo
- Project Period (FY)
  1993 – 1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
Representations of Groups, Lie Algebras, and Algebras
- Principal Investigator
  
  KAWANAKA Noriaki
- Project Period (FY)
  1992 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
環境の動的構造を学習する神経回路網の研究
- Principal Investigator
  
  辻下徹
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka University
動的パタ-ンの神経回路網による認識と学習の機構
- Principal Investigator
  
  辻下徹
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka University
楕円曲線の整数論
- Principal Investigator
  
  YAMAMOTO Yoshihiko
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
同変Sーコボルディズム理論と誘導定理
- Principal Investigator
  
  川久保勝夫
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
ヘッケ環の表現論
- Principal Investigator
  
  KAWANAKA Noriaki
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
有限群と代数群の表現論
- Principal Investigator
  
  川中宣明, 川中宜明
- Project Period (FY)
  1987 – 1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University

[Book] 結び目理論　分解定理・不変量・体積予想2021
- Author(s)
  村上　順
- Total Pages
  224
- Publisher
  森北出版
- Data Source
  KAKENHI-PROJECT-20K20881
[Journal Article] Asymptotics of quantum 6 j symbols2023
- Author(s)
  Qingtao Chen, Jun Murakami
- Journal Title
  
  Journal of Differential Geometry
  
  Volume: 123 Issue: 1 Pages: 1-20
- DOI
  10.4310/jdg/1679503803
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K20881, KAKENHI-PROJECT-23K20214
[Journal Article] Quantized representations of knot groups2023
- Author(s)
  Murakami Jun、van der Veen Roland
- Journal Title
  
  Quantum Topology
  
  Volume: 14 Issue: 4 Pages: 659-692
- DOI
  10.4171/qt/191
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K20881, KAKENHI-PROJECT-23K20214
[Journal Article] Diagrammatic construction of representations of small quantum sl22022
- Author(s)
  C. BLANCHET, M. DE RENZI and J. MURAKAMI
- Journal Title
  
  Transform. Groups
  
  Volume: 27 Issue: 3 Pages: 751-795
- DOI
  10.1007/s00031-021-09670-z
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K20881, KAKENHI-PROJECT-23K20214
[Journal Article] Non-semisimple 3-manifold invariants derived from the Kauffman bracket2022
- Author(s)
  Marco De Renzi, Jun Murakami
- Journal Title
  
  Quantum Topology
  
  Volume: 13 Issue: 2 Pages: 255-333
- DOI
  10.4171/qt/164
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K20881, KAKENHI-PROJECT-23K20214
[Journal Article] On Chen-Yang's volume conjecture for various quantum invariants2021
- Author(s)
  Jun Murakami
- Journal Title
  
  IRMA Lectures in Mathematics and Theoretical Physics
  
  Volume: 33 Pages: 147-159
- DOI
  10.4171/irma/33-1/9
- ISBN
  9783985470013, 9783985475018
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K20881
[Journal Article] From colored Jones invariants to logarithmic invariants2018
- Author(s)
  Jun Murakami
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 41 Issue: 2 Pages: 453-475
- DOI
  10.3836/tjm/1502179244
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K18728
[Journal Article] Reidemeister transformations of the potential function and the solution2017
- Author(s)
  Cho Jinseok、Murakami Jun
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 26 Issue: 12 Pages: 1750079-1750079
- DOI
  10.1142/s0218216517500791
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K18728, KAKENHI-PROJECT-16H06336
[Journal Article] Generalized Kashaev invariants for knots in three manifolds2017
- Author(s)
  Murakami, Jun
- Journal Title
  
  Quantum Topology
  
  Volume: 8 Issue: 1 Pages: 35-87
- DOI
  10.4171/qt/86
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25287014, KAKENHI-PROJECT-17K18728, KAKENHI-PROJECT-16H06336
[Journal Article] The dual Jacobian of a generalised hyperbolic tetrahedron, and volumes of prisms2016
- Author(s)
  Kolpakov, Alexander; Murakami, Jun
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 39 Issue: 1 Pages: 45-67
- DOI
  10.3836/tjm/1471873312
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25287014
[Journal Article] Yokota type invariants derived from non-integral highest weight representations of U_q(sl2)2016
- Author(s)
  Mizusawa, Atsuhiko; Murakami, Jun
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: 25 Issue: 10 Pages: 1650054-1650054
- DOI
  10.1142/s0218216516500541
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25287014, KAKENHI-PROJECT-16H06336
[Journal Article] Combinatorial Decompositions, Kirillov-Reshetikhin Invariants, and the Volume Conjecture for Hyperbolic Polyhedra2016
- Author(s)
  Kolpakov, Alexander; Murakami, Jun
- Journal Title
  
  Experimental Mathematics
  
  Volume: online Nov 01 Issue: 2 Pages: 193-207
- DOI
  10.1080/10586458.2016.1242441
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25287014, KAKENHI-PROJECT-17K18728
[Journal Article] Generalized Kashaev invariants for knots in three manifolds2015
- Author(s)
  J. Murakami
- Journal Title
  
  Quantum Topology
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340115
[Journal Article] The colored Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of a twice-iterated torus knot2015
- Author(s)
  H. Murakami
- Journal Title
  
  Acta Math. Vietnam
  
  Volume: 39 Issue: 4 Pages: 649-710
- DOI
  10.1007/s40306-014-0084-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340115, KAKENHI-PROJECT-24654041, KAKENHI-PROJECT-26400079
[Journal Article] Generalized Kashaev invariants for knots in three manifolds2015
- Author(s)
  Jun Murakami
- Journal Title
  
  Quantum Topoloty
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340010
[Journal Article] On SL(2, C) quantum 6j-symbol and its relation to the hyperbolic volume2013
- Author(s)
  Francesco Costantino, Jun Murakami
- Journal Title
  
  Quantum Topology
  
  Volume: ?
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340115
[Journal Article] On SL(2, C) quantum 6j-symbol and its relation to the hyperbolic volume2013
- Author(s)
  Francesco Costantino, Jun Murakami
- Journal Title
  
  Quantum Topol.
  
  Volume: 4 Issue: 3 Pages: 303-351
- DOI
  10.4171/qt/41
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340010, KAKENHI-PROJECT-23340115, KAKENHI-PROJECT-25287014, KAKENHI-PROJECT-25610022
[Journal Article] Optimistic limits of the colored Jones polynomials2013
- Author(s)
  Jinseok Cho, Jun Murakami
- Journal Title
  
  J. Korean Math. Soc.
  
  Volume: 85 Issue: 3 Pages: 641-693
- DOI
  10.4134/jkms.2013.50.3.641
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340010, KAKENHI-PROJECT-23340115, KAKENHI-PROJECT-25287014, KAKENHI-PROJECT-25610022
[Journal Article] Invariants of handlebody-knots via Yokota's invariants2013
- Author(s)
  Atsuhiko Mizusawa, Jun Murakami
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: 22 Issue: 11 Pages: 1350068-1350068
- DOI
  10.1142/s0218216513500685
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340010, KAKENHI-PROJECT-23340115, KAKENHI-PROJECT-25287014, KAKENHI-PROJECT-25610022
[Journal Article] On SL(2, C) quantum 6j-symbol and its relation to the hyperbolic volume2013
- Author(s)
  Francesco Costantino, Jun Murakami
- Journal Title
  
  Quantum Topology
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340010
[Journal Article] The coloured Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of the figure-eight knot2013
- Author(s)
  Hitoshi Murakami
- Journal Title
  
  J.Topology
  
  Volume: 6 Issue: 1 Pages: 193-216
- DOI
  10.1112/jtopol/jts036
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540069, KAKENHI-PROJECT-23340115, KAKENHI-PROJECT-24654041
[Journal Article] The volume formulas for a spherical tetrahedron2012
- Author(s)
  J.Murakami
- Journal Title
  
  Proceedings of American Mathematical Society
  
  Volume: (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340115
[Journal Article] Volume formulas for a spherical tetrahedron2012
- Author(s)
  Jun Murakami
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 140 Issue: 9 Pages: 3289-3295
- DOI
  10.1090/s0002-9939-2012-11182-7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540236, KAKENHI-PROJECT-23340010
[Journal Article] The volume formulas for a spherical tetrahedron2012
- Author(s)
  Jun Murakami
- Journal Title
  
  Proc.Amer.Math.Soc.
  
  Volume: (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340010
[Journal Article] Volume of a doubly truncated hyperbolic tetra- hedron2012
- Author(s)
  Kolpakov, Alexander ; Murakami,Jun
- Journal Title
  
  Aequat. Math
  
  Volume: 電子速報版 Issue: 3 Pages: 1-15
- DOI
  10.1007/s00010-012-0153-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540236, KAKENHI-PROJECT-23340010, KAKENHI-PROJECT-23340115, KAKENHI-PROJECT-25287014, KAKENHI-PROJECT-25610022
[Journal Article] Volume formulas for a spherical tetrahedron2012
- Author(s)
  Murakami, Jun
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume: Vol.140, no.9 Pages: 3289-3295
- Data Source
  KAKENHI-PROJECT-22540236
[Journal Article] On SL(2,C) quantum 6j-symbol and its relation to the hyperbolic volume2012
- Author(s)
  F.Costantino, J.Murakami
- Journal Title
  
  Quantum Topology
  
  Volume: (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340115
[Journal Article] Volume formulas for a spherical tetrahedron2012
- Author(s)
  Jun Murakami
- Journal Title
  
  Proceedings of American Mathematical Society
  
  Volume: 140 Pages: 3289-3295
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340115
[Journal Article] On SL(2,C) quantum 6j-symbol and its relation to the hyperbolic volume2012
- Author(s)
  Francesco Costantino, Jun Murakami
- Journal Title
  
  Quantum Topology
  
  Volume: (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340010
[Journal Article] On SL(2, C) quantum 6j-symbol and its relation to the hyperbolic volume2012
- Author(s)
  Francesco Costantino, Jun Murakami
- Journal Title
  
  Quantum Topology
  
  Volume: (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540236
[Journal Article] The volume formulas for a spherical tetrahedron2012
- Author(s)
  Jun Murakami
- Journal Title
  
  Proc.Amer.Math.Soc.
  
  Volume: (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540236
[Journal Article] An introduction to the volume conjecture2011
- Author(s)
  H.Murakami
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 541 Pages: 1-40
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340115
[Journal Article] Representations and the colored Jones polynomial of a torus knot2011
- Author(s)
  K.Hikami, H.Murakami
- Journal Title
  
  AMS/IP Studies in Advanced Mathematics
  
  Volume: 50 Pages: 153-171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340115
[Journal Article] Representations and the colored Jones polynomial of a torus knot2011
- Author(s)
  Kazuhiro Hikami, Hitoshi Murakami
- Journal Title
  
  "Chern-Simons Gauge Theory : 20 years after", AMS/IP Studies in Advanced Mathematics
  
  Volume: 50 Pages: 153-171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340010
[Journal Article] Logarithicmic knot invariants arising from resricted quantum groups2011
- Author(s)
  Jun Murakami, Kiyokazu Nagatomo
- Journal Title
  
  Internat. J. Math. to appear (to appear)
- Data Source
  KAKENHI-PROJECT-19340011
[Journal Article] The complex volumes of twist knots via colored Jones polynomials2010
- Author(s)
  Cho, Jinseok, Murakami, Jun
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: 19 Pages: 1401-1421
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540236
[Journal Article] The complex volumes of twist knots via colored Jones polynomials2010
- Author(s)
  Cho, Jinseok ; Murakami, Jun
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: Vol.19, no.11 Pages: 1401-1421
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540236
[Journal Article] The complex volumes of twist knots.2009
- Author(s)
  J. Cho, Jun Murakami, Y Yokota
- Journal Title
  
  Proc.Amer.Math.Soc. 137, no.10
  
  Pages: 3533-3541
- Data Source
  KAKENHI-PROJECT-19340011
[Journal Article] The complex volumes of twist knots.2009
- Author(s)
  Jinseok Cho, Jun Murakami, Yoshiyuki Yokota
- Journal Title
  
  Proceedings of the American Mathematical Society Vol.137,no.10
  
  Pages: 3533-3541
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540230
[Journal Article] Some limits of the colored Alexander invariant of the figure-eight knot and the volume of hyperbolic orbifolds2009
- Author(s)
  Cho, Jinseok, Murakami, Jun
- Journal Title
  
  J.Knot Theory Ramifications 18
  
  Pages: 1271-1286
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540230
[Journal Article] 量子不変量と双曲体積の思いがけない対応2009
- Author(s)
  村上順
- Journal Title
  
  数理科学 47
  
  Pages: 13-18
- Data Source
  KAKENHI-PROJECT-19540230
[Journal Article] Some limits of the colored Alexander invariant of the figure-eight knot and the volume of hyperbolic orbifolds.2009
- Author(s)
  Jinseok Cho, Jun Murakami
- Journal Title
  
  Journal of Knot Theory and its Ramifications Vol.18,no.9
  
  Pages: 1271-1286
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540230
[Journal Article] The complex volumes of twist knots2009
- Author(s)
  Cho, Jinseok, Murakami, Jun, Yokota, Yoshiyuki
- Journal Title
  
  Proceedings of American Mathematical Society 137
  
  Pages: 3533-3541
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540230
[Journal Article] Some limits of the colored Alexander invariant of the figure-eight knot and the volume of hyperbolic orbifolds.2009
- Author(s)
  J. Cho, Jun Murakami
- Journal Title
  
  J. Knot Theory Ramifications 18, no.9
  
  Pages: 1271-1286
- Data Source
  KAKENHI-PROJECT-19340011
[Journal Article] Colored Alexander invariants and cone-manifolds2008
- Author(s)
  Jun Murakami
- Journal Title
  
  Osaka J. Math. Vol.45
  
  Pages: 541-564
- NAID
  120004843322
- Data Source
  KAKENHI-PROJECT-19340011
[Journal Article] Colored AIexander invariants and cone-manifolds2008
- Author(s)
  Jun Murakami
- Journal Title
  
  Osaka J.Math. Vol.45
  
  Pages: 541-564
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340011
[Journal Article] Logarithmic knot invariants arising from restricted quantum groups.2008
- Author(s)
  Jun Murakami, K. Nagatomo
- Journal Title
  
  Internat.J. Math. 19, no.10
  
  Pages: 1203-1213
- Data Source
  KAKENHI-PROJECT-19340011
[Journal Article] Colored Alexander invariants and oone-manifolds2008
- Author(s)
  Murakami, Jun
- Journal Title
  
  Osaka Journal of Mathematics 45
  
  Pages: 541-564
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540230
[Journal Article] Colored Alexander invariants and cone-manifolds.2008
- Author(s)
  Jun Murakami
- Journal Title
  
  Osaka Journal of Mathematics Vol.45,no.2
  
  Pages: 541-564
- NAID
  120004843322
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540230
[Journal Article] Colored Alexander invariants and cone-manifolds.2008
- Author(s)
  Jun Murakami
- Journal Title
  
  Osaka J. Math. 45, no.2
  
  Pages: 541-564
- NAID
  120004843322
- Data Source
  KAKENHI-PROJECT-19340011
[Journal Article] Logarithmic knot invariants arising from restricted quantum groups2008
- Author(s)
  Murakami, Jun, Nagatomo, Kiyokazu
- Journal Title
  
  International Journal of Mathematics 19
  
  Pages: 1203-1213
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540230
[Journal Article] Logarithmic knot invariants arising from restricted quantum groups.2008
- Author(s)
  Jun Murakami, Kiyokazu Nagatomo
- Journal Title
  
  International Journal of Mathematics Vol.19,no.10
  
  Pages: 1203-1213
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540230
[Journal Article] The colored Jones polynomials for the figure eight knot and its Dehn surgery space2006
- Author(s)
  H.Murakami, Y.Yokota
- Journal Title
  
  Journal fur die reine und angewandte Mathematik, (to appear)
- Data Source
  KAKENHI-PROJECT-17540090
[Journal Article] A volume formula for hyperbolic tetrahedral in terms of edge lengths2005
- Author(s)
  J.Murakami, A.Ushijima
- Journal Title
  
  Journal of Geometry 83
  
  Pages: 153-163
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540090
[Journal Article] A volume formula for hyperbolic tetrahedra in terms of edge lengths2005
- Author(s)
  Jun Murakami, Akira Ushijima
- Journal Title
  
  Journal of Geometry 83
  
  Pages: 153-163
- Data Source
  KAKENHI-PROJECT-15340015
[Journal Article] On the volume of a hyperbolic and spherical tetrahedron2005
- Author(s)
  J.Murakami
- Journal Title
  
  Communications in Analysis and Geometry 13・2
  
  Pages: 379-400
- Data Source
  KAKENHI-PROJECT-17634006
[Journal Article] On the volume of a hyperbolic and spherical tetrahedron2005
- Author(s)
  Jun Murakami, Masakazu Yano
- Journal Title
  
  Comm.Anal.Geom. 13-2
  
  Pages: 379-400
- Data Source
  KAKENHI-PROJECT-15340015
[Journal Article] A volume formula for hyperbolic tetrahedral in terms of edge lengths
- Author(s)
  Murakami, J., Ushijima, A.
- Journal Title
  
  J. Geom. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540089
[Journal Article] A volume formula for hyperbolic tetrahedral in terms of edge length
- Author(s)
  J.Murakami, A.Ushijima
- Journal Title
  
  Journal of Geometry (掲載予定)
- Data Source
  KAKENHI-PROJECT-15540089
[Journal Article] On SL(2 , C) quantum 6j-symbol and its relation to the hyperbolic volume
- Author(s)
  Costantino, Francesco ; Murakami, Jun
- Journal Title
  
  Quantum Topology
  
  Volume: (掲載予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540236
[Journal Article] On the volume of a hyperbolic and spherical tetrahedron
- Author(s)
  J.Murakami, A.Yano
- Journal Title
  
  Communications in Analysis and Geometry (掲載予定)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540089
[Journal Article] On the volume of a hyperbolic and spherical tetrahedron
- Author(s)
  Murakami, J., Yano, M.
- Journal Title
  
  Comm. Anal. Geom. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540089
[Journal Article] A volume formula for hyperbolic tetrahedral in terms of edge length
- Author(s)
  J.Murakami, A.Ushijima
- Journal Title
  
  Journal of Geometry (掲載予定)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540089
[Journal Article] A volume formula for hyperbolic tetrahedra in terms of edge lengths
- Author(s)
  Jun Murakami, Akira Ushijima
- Journal Title
  
  Journal of Geometry (to appear)
- Data Source
  KAKENHI-PROJECT-15340015
[Journal Article] Logarithicmic knot invariants arising from resricted quantum groups
- Author(s)
  Jun Murakami and Kiyokazu Nagatomo
- Journal Title
  
  International Journal of Mathematics accepted
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540230
[Journal Article] Optimistic limits of the colored Jones polynomials
- Author(s)
  Cho, Jinseok ; Murakami, Jun
- Journal Title
  
  Journal of the Korean Mathematical Society
  
  Volume: (掲載予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540236
[Journal Article] Logarithicmic knot invariants arising from resricted quantum groups
- Author(s)
  Jun Murakami and Kiyokazu Nagatomo
- Journal Title
  
  Internat.J.Math. accept
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340011
[Journal Article] Colored Alexander invariants and cone-manifolds
- Author(s)
  Jun Murakami
- Journal Title
  
  Osaka Journal of Mathematics accepted
- NAID
  120004843322
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] ホップ代数によるスケイン加群の一般化2023
- Author(s)
  村上　順
- Organizer
  拡大 KOOK セミナー 2023
- Data Source
  KAKENHI-PROJECT-23K20214
[Presentation] ボトムタングルから Aq 多項式へ2023
- Author(s)
  村上　順
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-23K20214
[Presentation] ホップ代数によるスケイン加群の一般化2023
- Author(s)
  村上　順
- Organizer
  拡大 KOOK セミナー 2023
- Data Source
  KAKENHI-PROJECT-20K20881
[Presentation] Volume conjecture of knots2023
- Author(s)
  Jun Murakami
- Organizer
  Winter School on Low-dimensional Topology and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K20881
[Presentation] ボトムタングルから Aq 多項式へ2023
- Author(s)
  村上　順
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-20K20881
[Presentation] 体積ポテンシャル関数とその応用2022
- Author(s)
  村上順
- Organizer
  Low dimensional topology and number theory XIII
- Data Source
  KAKENHI-PROJECT-20K20881
[Presentation] 結び目群の量子化について2022
- Author(s)
  村上　順
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-20K20881
[Presentation] 結び目群の量子化について2022
- Author(s)
  村上　順
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-23K20214
[Presentation] On quantum character varieties of knots2021
- Author(s)
  村上順
- Organizer
  Intelligence of Low-dimensional Topology
- Data Source
  KAKENHI-PROJECT-20K20881
[Presentation] On quantum representation of knots via braided Hopf algebra2020
- Author(s)
  Jun Murakami
- Organizer
  Knot Online Seminar
- Data Source
  KAKENHI-PROJECT-20K20881
[Presentation] On quantum representation of knots via braided Hopf algebra2020
- Author(s)
  Jun Murakami
- Organizer
  Intelligence of Low-dimensional Topology
- Data Source
  KAKENHI-PROJECT-17K18728
[Presentation] On quantum representation of knots via braided Hopf algebra2020
- Author(s)
  Jun Murakami
- Organizer
  Knot Online Seminar
- Data Source
  KAKENHI-PROJECT-23K20214
[Presentation] On quantum representation of knots via braided Hopf algebra2020
- Author(s)
  Jun Murakami
- Organizer
  Intelligence of Low-dimensional Topology
- Data Source
  KAKENHI-PROJECT-23K20214
[Presentation] On quantum representation of knots via braided Hopf algebra2020
- Author(s)
  Jun Murakami
- Organizer
  Intelligence of Low-dimensional Topology
- Data Source
  KAKENHI-PROJECT-20K20881
[Presentation] On quantum representation of knots via braided Hopf algebra2020
- Author(s)
  Jun Murakami
- Organizer
  Knot Online Semina
- Data Source
  KAKENHI-PROJECT-17K18728
[Presentation] Quantized SL(2) representations of knot groups2019
- Author(s)
  Jun Murakami
- Organizer
  Expansions, Lie Algebras and Invariants
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K18728
[Presentation] Presentation of knots by a braided Hopf algebra2018
- Author(s)
  Jun Murakami
- Organizer
  Modular Forms and Quantum Knot Invariants, Banff International Research Station（カナダ）
- Data Source
  KAKENHI-PROJECT-17K18728
[Presentation] Braided Wirtinger presentation of knots2018
- Author(s)
  Jun Murakami
- Organizer
  Representation Spaces, Teichmuller Theory, and their Relationship with 3-manifolds from the Classical and Quantum Viewpoints, Centre International de Rencontres Mathemiques（フランス、マルセイユ）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K18728
[Presentation] On a $q$-deformation of PSL(2) representation of knot groups2018
- Author(s)
  Jun Murakami
- Organizer
  Low dimensional topology and number theory X, 九州大学
- Invited
- Data Source
  KAKENHI-PROJECT-17K18728
[Presentation] Volume conjecture for the logarithmic invariant2018
- Author(s)
  Jun Murakami
- Organizer
  Volume Conjecture in Tokyo
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K18728
[Presentation] On the asymptotics of quantum 6j symbols2017
- Author(s)
  Jun Murakami
- Organizer
  Invariants in low dimensional geometry & topology, トゥルーズ大学（フランス）
- Invited
- Data Source
  KAKENHI-PROJECT-17K18728
[Presentation] On the volume conjecture of quantum knot invariants2017
- Author(s)
  Jun Murakami
- Organizer
  Low-dimensional Topology and Number Theory, Oberwolfach Research Institute for Mathematics（ドイツ）
- Data Source
  KAKENHI-PROJECT-17K18728
[Presentation] On the volume conjecture for quantum 6j symbols2016
- Author(s)
  Murakami, Jun
- Organizer
  Workshop on Teichmueler and Grothendieck-Teichmueller theories
- Place of Presentation
  Chern Institute of Mathematics, Nankai University, Tianjin, China
- Year and Date
  2016-07-27
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] On the volume conjecture of various SO(3) invariants2016
- Author(s)
  Murakami, Jun
- Organizer
  Topology and Analysis of Discrete Groups and Hyperbolic Spaces
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2016-06-24
- Invited
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Volume conjecture for quantum 6j symvols2016
- Author(s)
  Murakami, Jun
- Organizer
  Mini workshop "Growth3"
- Place of Presentation
  早稲田大学教育学部
- Year and Date
  2016-04-01
- Invited
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Volume conjecture for quantum 6j symbols2015
- Author(s)
  Jun Murakami
- Organizer
  PMI Quantum Topology Seminar
- Place of Presentation
  Department of Mathemtics, POSTECH,Korea
- Year and Date
  2015-12-11
- Data Source
  KAKENHI-PROJECT-25610022
[Presentation] Logarithmic invariants of knots in a three manifold2015
- Author(s)
  Jun Murakami
- Organizer
  New Developments in TQFT
- Place of Presentation
  Centre for Quantum Geometry of Moduli Spaces, Aarhus University, Denmark
- Year and Date
  2015-07-31
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Logarithmic invariant of knots and its applications2015
- Author(s)
  Jun Murakami
- Organizer
  Braids, Configuration Spaces, and Quantum Topolog
- Place of Presentation
  東京大学数理科学研究科
- Year and Date
  2015-09-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25610022
[Presentation] Logarithmic invariant of knots and its applications2015
- Author(s)
  Jun Murakami
- Organizer
  Braids, Configuration Spaces, and Quantum Topology
- Place of Presentation
  東京大学数理科学研究科
- Year and Date
  2015-09-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Volumes of hyperbolic an spherical polyhedrons2015
- Author(s)
  村上　順
- Organizer
  日本数学会2015年度年会
- Place of Presentation
  明治大学駿河台キャンパス
- Year and Date
  2015-03-23
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Volume formula for hyperbolic and spherical polyhedron2015
- Author(s)
  Jun Murakami
- Organizer
  PMI Quantum Topology Seminar
- Place of Presentation
  Department of Mathemtics, POSTECH,Korea
- Year and Date
  2015-12-12
- Data Source
  KAKENHI-PROJECT-25610022
[Presentation] Volume conjecture for quantum 6j symbols2015
- Author(s)
  Jun Murakami
- Organizer
  PMI Quantum TopologySeminar
- Place of Presentation
  Department of Mathemtics, POSTECH,Korea
- Year and Date
  2015-12-11
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Volume formula for hyperbolic and spherical polyhedron2015
- Author(s)
  Jun Murakami
- Organizer
  PMI Quantum TopologySeminar
- Place of Presentation
  Department of Mathemtics, POSTECH,Korea
- Year and Date
  2015-12-12
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Logarithmic invariants of knots in a three manifold2015
- Author(s)
  Jun Murakami
- Organizer
  New Developments in TQFT
- Place of Presentation
  Centre for Quantum Geometry of Moduli Spaces, Aarhus University, Denmark
- Year and Date
  2015-07-31
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25610022
[Presentation] Logarithmic invariant of knots and its applications2015
- Author(s)
  Jun Murakami
- Organizer
  Braids, Configuration Spaces, and Quantum Topology
- Place of Presentation
  東京大学数理科学研究科
- Year and Date
  2015-09-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Volumes of hyperbolic an spherical polyhedrons2015
- Author(s)
  村上　順
- Organizer
  日本数学会2015年度年会
- Place of Presentation
  明治大学駿河台キャンパス
- Year and Date
  2015-03-23
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Volumes of hyperbolic an spherical polyhedrons2015
- Author(s)
  村上　順
- Organizer
  日本数学会2015年度年会
- Place of Presentation
  明治大学駿河台キャンパス
- Year and Date
  2015-03-23
- Data Source
  KAKENHI-PROJECT-25610022
[Presentation] Logarithmic invariants of knots in a three manifold2015
- Author(s)
  Jun Murakami
- Organizer
  New Developments in TQFT
- Place of Presentation
  Centre for Quantum Geometry of Moduli Spaces, Aarhus University, Denmark
- Year and Date
  2015-07-31
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Generalized Kashaev invariants for knots in three-manifolds2014
- Author(s)
  Jun Murakami
- Organizer
  Modern Trends in Topological Quantum Field Theory, Workshop II
- Place of Presentation
  Erwin Schrodinger International Institute for Mathematical Physics, Vienna, Austria
- Invited
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Logarithmic invariant of knots2014
- Author(s)
  Jun Murakami
- Organizer
  Quantum Curves and Quantum Knot Invariants
- Place of Presentation
  Banff International Research Station, Banff, Canada
- Year and Date
  2014-06-19
- Invited
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Volumes of hyperbolic an spherical polyhedrons2014
- Author(s)
  Jun Murakami
- Organizer
  8th Australia New Zealand Mathematics Convention
- Place of Presentation
  University of Melbourne
- Year and Date
  2014-12-18
- Data Source
  KAKENHI-PROJECT-25610022
[Presentation] The colored Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of a cable knot2014
- Author(s)
  H. Murakami
- Organizer
  Low-Dimensional Topology and Number Theory
- Place of Presentation
  Mathematisches Forschungsinstitut Oberwolfach, Germany
- Year and Date
  2014-08-20
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] Logarithmic knot invariants and hyperbolic volumes2014
- Author(s)
  Jun Murakami
- Organizer
  Knots and Low Dimensional Manifolds
- Place of Presentation
  BEXCO Convention & Exibition Center II, Busan, Korea
- Year and Date
  2014-08-25
- Invited
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Logarithmic knot invariants and hyperbolic volumes2014
- Author(s)
  J. Murakami
- Organizer
  Knots and Low Dimensional Manifolds
- Place of Presentation
  BEXCO Convention & Exivition Center II, Korea
- Year and Date
  2014-08-25
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] Logarithmic invariants of links2014
- Author(s)
  Jun Murakami
- Organizer
  Quantum Topology and Physics 2014 in Fukuoka
- Place of Presentation
  西新プラザ，九州大学
- Year and Date
  2014-09-18
- Invited
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Volume conjecture for logarithmic invariant of knots2014
- Author(s)
  Jun Murakami
- Organizer
  Mini-workshop on the Volume conjecture
- Place of Presentation
  KoreaInstitutefor Acvanced Study (KIAS), Seoul, Korea
- Year and Date
  2014-06-11
- Invited
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Volume conjecture for logarithmic invariant of knots2014
- Author(s)
  Jun Murakami
- Organizer
  Mini-workshop on the Volume conjecture
- Place of Presentation
  Korea Institute for Acvanced Study (KIAS), Seoul, Korea
- Year and Date
  2014-06-11
- Invited
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Logarithmic invariants of links2014
- Author(s)
  Jun Murakami
- Organizer
  KQuantum Topology and Physics 2014 in Fukuoka
- Place of Presentation
  西新プラザ，九州大学
- Year and Date
  2014-09-18
- Invited
- Data Source
  KAKENHI-PROJECT-25610022
[Presentation] Volumes of hyperbolic an spherical polyhedrons2014
- Author(s)
  Jun Murakami
- Organizer
  8th Australia New Zealand Mathematics Convention
- Place of Presentation
  University of Melbourne
- Year and Date
  2014-12-08
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] On the volume conjecture and its generalizations2014
- Author(s)
  H. Murakami
- Organizer
  The 2014 KMJ Conference for Accreditation Strategies
- Place of Presentation
  Kyungpook National University, Korea
- Year and Date
  2014-08-08
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] Logarithmic knot invariants and hyperbolic volumes2014
- Author(s)
  Jun Murakami
- Organizer
  Knots and Low Dimensional Manifolds
- Place of Presentation
  BEXCO Convention & Exibition Center II, Busan, Korea
- Year and Date
  2014-08-25
- Invited
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Logarithmic invariants of links2014
- Author(s)
  Jun Murakami
- Organizer
  Quantum Topology and Physics 2014 in Fukuoka
- Place of Presentation
  西新プラザ，九州大学
- Year and Date
  2014-09-18
- Invited
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Logarithmic invariants of knots2014
- Author(s)
  J. Murakami
- Organizer
  Quantum Curves and Quantum Knot Invariants
- Place of Presentation
  Banff International Research Station, Canada
- Year and Date
  2014-06-19
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] Volume conjecture for logarithmic invariant of knots2014
- Author(s)
  Jun Murakami
- Organizer
  Mini-workshop on the Volume conjecture
- Place of Presentation
  KoreaInstitutefor Acvanced Study (KIAS), Seoul, Korea
- Year and Date
  2014-06-11
- Invited
- Data Source
  KAKENHI-PROJECT-25610022
[Presentation] Logarithmic invariants of links2014
- Author(s)
  J. Murakami
- Organizer
  Quantum Topology and Physics 2014 in Fukuoka
- Place of Presentation
  九州大学
- Year and Date
  2014-09-18
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] Volumes of hyperbolic an spherical polyhedrons2014
- Author(s)
  Jun Murakami
- Organizer
  8th Australia New Zealand Mathematics Convention
- Place of Presentation
  University of Melbourne
- Year and Date
  2014-12-08
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Volume conjecture for logarithmic invariant of knots2014
- Author(s)
  J. Murakami
- Organizer
  Mini-Workshop on the Volume Conjecture
- Place of Presentation
  Korea Institute for Advanced Study, Korea
- Year and Date
  2014-06-11
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] Logarithmic knot invariants and hyperbolic volumes2014
- Author(s)
  Jun Murakami
- Organizer
  Knots and Low Dimensional Manifolds
- Place of Presentation
  BEXCO Convention & Exibition Center II, Busan, Korea
- Year and Date
  2014-08-28
- Invited
- Data Source
  KAKENHI-PROJECT-25610022
[Presentation] Logarithmic invariant of knots2014
- Author(s)
  Jun Murakami
- Organizer
  Quantum Curves and Quantum Knot Invariants
- Place of Presentation
  Banff International Research Station, Banff, Canada
- Year and Date
  2014-06-19
- Invited
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Logarithmic invariant of knots2014
- Author(s)
  Jun Murakami
- Organizer
  Quantum Curves and Quantum Knot Invariants
- Place of Presentation
  Banff International Research Station, Banff, Canada
- Year and Date
  2014-06-19
- Invited
- Data Source
  KAKENHI-PROJECT-25610022
[Presentation] Volume formulas for a spherical tetrahedron2013
- Author(s)
  Jun Murakami
- Organizer
  Geometric structures on low-dimensional manifolds
- Place of Presentation
  Korea Institute for Advanced Study, Seoul, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Knots invariants coming from the small quantum group2013
- Author(s)
  Jun Murakami
- Organizer
  第58回代数学シンポジウム
- Place of Presentation
  広島大学理学部
- Invited
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Logarithmic invariants of knots in three manifolds2013
- Author(s)
  村上順
- Organizer
  Exact results in SUSY gauge theories and integrable systems
- Place of Presentation
  立教大学
- Invited
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Logarithmic invariants of knots in three manifolds2013
- Author(s)
  村上順
- Organizer
  Exact results in SUSY gauge theories and integrable systems
- Place of Presentation
  立教大学
- Year and Date
  2013-01-12
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] On the logarithmic knot invariants and the hyperbolic volume2013
- Author(s)
  村上順
- Organizer
  Low dimensional topology and number theory V
- Place of Presentation
  ソフトリサーチパーク(福岡)
- Year and Date
  2013-03-14
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] On the logarithmic knot invariants and the hyperbolic volume2013
- Author(s)
  村上順
- Organizer
  Low dimensional topology and number theory V
- Place of Presentation
  ソフトリサーチパーク（福岡）
- Invited
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Quantum invariants of knots and the hyperbolic volume2012
- Author(s)
  Jun Murakami
- Organizer
  The 29th international colloquium on group-theoretical methods in physic
- Place of Presentation
  Chern Institute of Mathematics, 天津, 中国
- Invited
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Logarithmic invariants for knots in three manifolds2012
- Author(s)
  村上順
- Organizer
  研究集会ホップ代数と量子群--応用の可能性
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Quantum 6j-symbols for nonintegral highest weight representations of U_q(sl_2) at root of unity2012
- Author(s)
  村上順
- Organizer
  日本数学会秋期総合分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-19
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] Logarithmic invariants for knots in three manifolds2012
- Author(s)
  村上順
- Organizer
  研究集会ホップ代数と量子群--応用の可能性
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-09-03
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] 結び目の量子不変量とその応用2012
- Author(s)
  村上順
- Organizer
  Summer School 数理物理2012 結び目の数理と物理
- Place of Presentation
  東京大学
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] Quantum invariants of knots and the hyperbolic volume2012
- Author(s)
  村上順
- Organizer
  The 29th international colloquium on group-theoretical methods in physics,
- Place of Presentation
  Chern Institute of Mathematics, 天津, 中国
- Year and Date
  2012-08-24
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] Quantum 6j-symbols for non-integral highest weight representations of U_q(sl_2) at root of unity2012
- Author(s)
  村上順
- Organizer
  日本数学会秋期総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] 結び目の量子不変量とその応用2012
- Author(s)
  Jun Murakami
- Organizer
  Summer School 数理物理 2012 結び目の数理と物理
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] 結び目の量子不変量とその応用2012
- Author(s)
  村上順
- Organizer
  Summer School 数理物理 2012 結び目の数理と物理
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] 3次元球面内の四面体の体積公式2011
- Author(s)
  村上順
- Organizer
  日本数学会秋期総合分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] 3次元球面内の四面体の体積公式2011
- Author(s)
  村上順
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] 3次元球面内の四面体の体積公式2011
- Author(s)
  村上順
- Organizer
  日本数学会秋期総合分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] On the relation between projective representations of U_q(sl_2) and hyperbolic volume2010
- Author(s)
  村上順
- Organizer
  Diatram algebas and related topics
- Place of Presentation
  Culture Resort Festone, 沖縄
- Year and Date
  2010-07-07
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] Some generalizations of the colored Alexander invaiant2010
- Author(s)
  村上順
- Organizer
  Quantum groups and quantum topology
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-04-20
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] On the relation between projective representations of Uq(s12) and hyperbolic volume2010
- Author(s)
  村上順
- Organizer
  Diagram algebras and related topics
- Place of Presentation
  カルチャーリゾートフェストーネ(招待講演)
- Year and Date
  2010-07-07
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] Some generalizations of the colored Alexander invariant2010
- Author(s)
  村上順
- Organizer
  調子群と量子トポロジー
- Place of Presentation
  京都大学数理解析研究所(招待講演)
- Year and Date
  2010-04-20
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] On the tensor category of projective modules of the small quantum groups2009
- Author(s)
  Jun Murakami
- Organizer
  Category Theory, Computer Science, and Topology
- Place of Presentation
  信州大学
- Year and Date
  2009-10-18
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] On the variations of quantum sl2 invariants of knots and links2009
- Author(s)
  村上順
- Organizer
  Workshop on Turaev-Viro invariant and related topics
- Place of Presentation
  東京工業大学
- Year and Date
  2009-02-10
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] On the tensor category of projective modules of the small quantum groups2009
- Author(s)
  村上順
- Organizer
  Category Theory, Computer Science, and Topology
- Place of Presentation
  信州大学
- Year and Date
  2009-10-18
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] On the quantum 6j symbols for the non-integral highest weight representations of U_q(sl_2)at root of 12009
- Author(s)
  村上順
- Organizer
  日本数学会秋期総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] On logarithmic knot invariant and volume conjecture2009
- Author(s)
  Jun Murakami
- Organizer
  Seminaire de Theorie des Noeuds
- Place of Presentation
  Universite de Geneve, Swiss
- Year and Date
  2009-03-25
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] On the extra quantum group U_\xi^(r)(sl_2) at root of 12009
- Author(s)
  村上順
- Organizer
  2009年度日本数学会総会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-28
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] On the quantum 6jsymbols for the non-integral highest weight representtations of U_q(sl_ 2) at root of 12009
- Author(s)
  Jun Murakami
- Organizer
  2009年度日本数学会秋期総合分科会
- Place of Presentation
  大阪大学
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] On the variations of quan-tum sl2 invariants of knots and links2009
- Author(s)
  Murakami, Jun
- Organizer
  Workshop on Turaev-Viro invariant and related topics
- Place of Presentation
  東京工業大学大岡山キャンパス
- Year and Date
  2009-02-10
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] On the quautum 6j symbols for the non-integral highest weight representations of Uq(sl2) at root of 12009
- Author(s)
  村上順
- Organizer
  2009年度日本数学会秋期総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] On the extra quantum group U_\xi^(r)(sl_2) at root of 12009
- Author(s)
  Jun Murakami
- Organizer
  2009年度日本数學会年会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-28
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] On the extra quantum group U_\xi^(r)(sl_2) at root of 12009
- Author(s)
  村上順
- Organizer
  2009年度日本数学会年会
- Place of Presentation
  東京大学駒場キャンパス
- Year and Date
  2009-03-28
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] Generalized quantum 6j-symbols and the colored Alexander invariant2009
- Author(s)
  Jun Murakami
- Organizer
  Topology seminar
- Place of Presentation
  Universite de Strasbourg, France
- Year and Date
  2009-09-15
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] On the variations of quantum sl_2 invariants of knots and links2009
- Author(s)
  Jun Murakami
- Organizer
  Workshop on Turaev-Viro invariant and related topics
- Place of Presentation
  東京工業大学
- Year and Date
  2009-02-10
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] On logarithmic knot invariant2008
- Author(s)
  Jun Murakami
- Organizer
  Braids in Paris
- Place of Presentation
  Univ. Paris Diderot (Paris 7), FRANCE
- Year and Date
  2008-09-18
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] On the TQFT Coming from the Restricted Quantum Group Finite Type Invariants2008
- Author(s)
  Jun Murakami
- Organizer
  Fat Graphs and Torelli-Johnson-Morita Theory
- Place of Presentation
  CTQM, University of Aarhus, Denmark
- Year and Date
  2008-04-03
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] On branch problem of complex volume2008
- Author(s)
  村上順
- Organizer
  Topology and Computer 2008
- Place of Presentation
  東京工業大学
- Year and Date
  2008-08-23
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] 量子不変量の様々なstate model, 量子6j-symbolと双曲四面体の体積, Colored Alexander不変量と体積予想2008
- Author(s)
  村上順
- Organizer
  夏の学校「低次元トポロジーにおける未解決問題」
- Place of Presentation
  名古屋大学
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] Beyond the quantum invariants of knots and 3-manifolds2008
- Author(s)
  Jun Murakami
- Organizer
  Topology Seminar
- Place of Presentation
  東京工業大学
- Year and Date
  2008-07-23
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] On logarithmic knot invariant2008
- Author(s)
  Jun Murakami
- Organizer
  Braids in Paris
- Place of Presentation
  Univ. Paris Diderot (Paris 7), France
- Year and Date
  2008-09-18
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] On the invariants of knots and 3-manifolds related to the restricted quantum group2008
- Author(s)
  Jun Murakami
- Organizer
  トポロジー火曜セシナー
- Place of Presentation
  東京大学
- Year and Date
  2008-04-15
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] On the TQFT Coining from the Restricted Quantum Group2008
- Author(s)
  Murakami, Jun
- Organizer
  Finite Type Invariants, Fat Graphs and Torelli-Johnson-Morita Theory
- Place of Presentation
  CTQM, University of Aarhus
- Year and Date
  2008-04-03
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] On logarithmic knot invariant2008
- Author(s)
  Jun Murakami
- Organizer
  4th East Asia School of Knots, Links and Related Topics
- Place of Presentation
  東京大学
- Year and Date
  2008-01-23
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] On logarithmic knot invariant2008
- Author(s)
  Murakami, Jun
- Organizer
  Braids in Paris
- Place of Presentation
  Univ. Paris Diderot (Paris 7)
- Year and Date
  2008-09-18
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] On branch problem of complex volume2008
- Author(s)
  Murakami, Jun
- Organizer
  トポロジーとコンピュータ2008
- Place of Presentation
  東京工業大学大岡山キャンパス
- Year and Date
  2008-08-23
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] Colored Alexander 不変量と体積予想2008
- Author(s)
  Jun Murakami
- Organizer
  夏の学校「低次元トポロジーにおける未解決問題」
- Place of Presentation
  名古屋大学多元数理科学研究科
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] On branch problem of complex volume2008
- Author(s)
  Jun Murakami
- Organizer
  Topology and Computer 2008
- Place of Presentation
  東京工業大学
- Year and Date
  2008-08-23
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] On the TQFT Coming from the Restricted Quantum Group Finite Type Invariants2008
- Author(s)
  Jun Murakami
- Organizer
  Fat Graphs and Torelli-Johnson-Morita Theory
- Place of Presentation
  CTQM, University of Aarhus, DENMARK
- Year and Date
  2008-04-03
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] Colored Alexander invariant and cone manifolds2007
- Author(s)
  Jun Murakami
- Organizer
  Workshop HYPERBOLIC VOLUME 2007
- Place of Presentation
  Univ. Friburg
- Year and Date
  2007-07-03
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] Uq(s12)at qn=1と2+1次元トポロジー2007
- Author(s)
  Jun Murakami
- Organizer
  2+1次元トポロジーの新しい流れ
- Place of Presentation
  早稲田大学
- Year and Date
  2007-11-14
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] Uq(sl2) at qN=1と2+1次元トポロジー2007
- Author(s)
  村上順
- Organizer
  2+1次元トポロジーの新しい流れ
- Place of Presentation
  早稲田大学
- Year and Date
  2007-11-14
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] Uq(sl2)と関連する写像類群の表現について2007
- Author(s)
  村上順
- Organizer
  Workshop on linear representations of the mapping class group and related topics
- Place of Presentation
  高知県, 国民宿舎桂浜荘
- Year and Date
  2007-12-22
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] Clored Alexanderinvariant and cone manifolds2007
- Author(s)
  Jun Murakami
- Organizer
  Workshop Hyperbolic Volume 2007
- Place of Presentation
  Universite de Fribourg, Swiss
- Year and Date
  2007-07-03
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] Colored Alexander invariant and cone manifolds2007
- Author(s)
  Jun Murakami
- Organizer
  Workshop Hyperbolic Volume
- Place of Presentation
  Universite Fribourg, SWISS
- Year and Date
  2007-07-03
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] Colored Alexander invariant and cone manifold2007
- Author(s)
  Jun Murakami
- Organizer
  workshop Hyperbolic Volumes 2007
- Place of Presentation
  Fribourg,スイス
- Year and Date
  2007-07-03
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] On representations ofmapping class groups related to U_q(sl_2)2007
- Author(s)
  Jun Murakami
- Organizer
  Workshop on linear representations of themapping class group and related topics
- Place of Presentation
  高知県高知市桂浜荘
- Year and Date
  2007-12-22
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] Colored Alexander invariant and cone manifolds2007
- Author(s)
  Jun Murakami
- Organizer
  Workshop HYPERBOLlC VOLUME 2007
- Place of Presentation
  Univ.Friburg
- Year and Date
  2007-07-03
- Data Source
  KAKENHI-PROJECT-19340011
[Presentation] On representations of mapping class groups related to Uq(s12)2007
- Author(s)
  Jun Murakami
- Organizer
  Workshop on linear representations of the mapping class group and related topics
- Place of Presentation
  高知桂浜荘
- Year and Date
  2007-12-22
- Data Source
  KAKENHI-PROJECT-19540230
[Presentation] Logarithmic invariants of knots in three manifolds
- Author(s)
  Jun Murakami
- Organizer
  Exact results in SUSY gauge theories and integrable systems
- Place of Presentation
  立教大学
- Invited
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] Generalized Kashaev invariants for knots in three-manifolds
- Author(s)
  Jun Murakami
- Organizer
  Modern Trends in Topological Quantum Field Theory, Workshop II
- Place of Presentation
  Erwin Schrodinger International Institute for Mathematical Physics, Vienna, Austria
- Invited
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Quantum 6j-symbols for non-integral highest weight representations of U_q(sl_2) at root of unity
- Author(s)
  Jun Murakami
- Organizer
  日本数学会秋期総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] On the logarithmic knot invariants and the hyperbolic volume
- Author(s)
  J. Murakami
- Organizer
  Low Dimensional Topology and Number Theory V
- Place of Presentation
  Soft Research Park, Fukuoka, Japan
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] Logarithmic invariants for knots in three manifolds
- Author(s)
  Jun Murakami
- Organizer
  研究集会ホップ代数と量子群--応用の可能性
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] Generalized Kashaev invariants for knots in three-manifolds
- Author(s)
  Jun Murakami
- Organizer
  Modern Trends in Topological Quantum Field Theory, Workshop II
- Place of Presentation
  Erwin Schrödinger International Institute for Mathematical Physics, Austria
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] Logarithmic invariants of knots in three manifolds
- Author(s)
  J. Murakami
- Organizer
  Exact Results in SUSY Gauge Theories and Integrable Systems
- Place of Presentation
  Rikkyo University, Japan
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] Logarithmic invariants for knots in three manifolds
- Author(s)
  J. Murakami
- Organizer
  ホップ代数と量子群 -- 応用の可能性
- Place of Presentation
  数理解析研究所、京都大学
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] The colored Jones polynomial of a knot and SL(2;C) representations of the fundamental group of its complement
- Author(s)
  Hitoshi Murakami
- Organizer
  Knots and Physics workshop in Amsterdam
- Place of Presentation
  University of Amsterdam, Netherlands
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] Quantum invariants of knots and the hyperbolic volume
- Author(s)
  J. Murakami
- Organizer
  The 29th International Colloquium on Group-Theoretical Method in Physics
- Place of Presentation
  Chern Institute of Mathematics, China
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] Knots invariants coming from the small quantum group
- Author(s)
  Jun Murakami
- Organizer
  第58回代数学シンポジウム
- Place of Presentation
  広島大学
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] On the logarithmic knot invariants and the hyperbolic volume
- Author(s)
  Jun Murakami
- Organizer
  Low dimensional topology and number theory V
- Place of Presentation
  ソフトリサーチパーク（福岡）
- Invited
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] Volume formulas for a spherical tetrahedron
- Author(s)
  Jun Murakami
- Organizer
  Geometric structures on low-dimensional manifolds
- Place of Presentation
  Korea Institute for Advanced Study, Seoul, 韓国
- Invited
- Data Source
  KAKENHI-PROJECT-25610022
[Presentation] Knots invariants coming from the small quantum group
- Author(s)
  Jun Murakami
- Organizer
  第58回代数学シンポジウム
- Place of Presentation
  広島大学理学部
- Invited
- Data Source
  KAKENHI-PROJECT-25610022
[Presentation] Volume formulas for a spherical tetrahedron
- Author(s)
  Jun Murakami
- Organizer
  Geometric structures on low-dimensional manifolds
- Place of Presentation
  Korea Institute for Advanced Study, Seoul, 韓国
- Invited
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Quantum invariants of knots and the hyperbolic volume
- Author(s)
  Jun Murakami
- Organizer
  The 29th international colloquium on group-theoretical methods in physics
- Place of Presentation
  Chern Institute of Mathematics, 天津, 中国
- Invited
- Data Source
  KAKENHI-PROJECT-22540236
[Presentation] Survey of the volume conjecture
- Author(s)
  Hitoshi Murakami
- Organizer
  Geometric topology in Cortona
- Place of Presentation
  Cortona, Italy
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] Volume formulas for a spherical tetrahedron
- Author(s)
  Jun Murakami
- Organizer
  Geometric structures on low-dimensional manifolds
- Place of Presentation
  Korean Institute for Advanced Study, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] How much does the colored Jones polynomial of a knot know about representations of the fundamental group to SL(2; C)?
- Author(s)
  Hitoshi Murakami
- Organizer
  Quantum topology and hyperbolic geometry
- Place of Presentation
  Nha Trang, Vietnam
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] Knots invariants coming from the small quantum group
- Author(s)
  村上　順
- Organizer
  第58回代数学シンポジウム
- Place of Presentation
  広島大学理学部
- Invited
- Data Source
  KAKENHI-PROJECT-25287014
[Presentation] Generalized Kashaev invariants for knots in three-manifolds
- Author(s)
  Jun Murakami
- Organizer
  Modern Trends in Topological Quantum Field Theory, Workshop II
- Place of Presentation
  Erwin Schrodinger International Institute for Mathematical Physics, Vienna, Austria
- Invited
- Data Source
  KAKENHI-PROJECT-25610022
[Presentation] `The colored Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of a knot
- Author(s)
  H. Murakami
- Organizer
  New Perspectives in Topological Field Theories
- Place of Presentation
  Center for Mathematical Physics, Hamburg, Germany
- Invited
- Data Source
  KAKENHI-PROJECT-23340115
[Presentation] Quantum 6j-symbols for non-integral highest weight representations of Uq(sly) at root of unity
- Author(s)
  J. Murakami
- Organizer
  日本数学会　秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23340115

1. KAWANAKA Noriaki (10028219)

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2. MIYANISHI Masayoshi (80025311)

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MURAKAMI Jun 村上 順

村上 順 ムラカミ ジュン

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Research on a complexification of hyperbolic tetrahedraPrincipal Investigator

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Study on geometric structure of three manifolds from the viewpoint of quantum invariantsPrincipal Investigator

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Diagramatic construction of non-semisimple TQFTPrincipal Investigator

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Quantization of the fundamental group by dual quantum groupPrincipal Investigator

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Discrete quantization of low-dimensional geometry with quantum invariantsPrincipal Investigator

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Study in phantom of the quantum groupsPrincipal Investigator

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Representations of the quantum groups at roots of unity and its application to knot theoryPrincipal Investigator

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Study on geometry of knots and three manifolds by using representation theory of quantum groupsPrincipal Investigator

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MURAKAMI Jun 村上順

村上順ムラカミジュン