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HAYASHI Takahiro  林 孝宏

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… Alternative Names

林 孝宏  ハヤシ タカヒロ

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Researcher Number 60208618
Other IDs
Affiliation (Current) 2025: 名古屋大学, 多元数理科学研究科, 准教授
Affiliation (based on the past Project Information) *help 2009: 名古屋大学, 大学院・多元数理科学研究科, 准教授
2007: 名古屋大学, 大学院・多元数理科学研究科, 准教授
2005 – 2006: 名古屋大学, 大学院多元数理科学研究科, 助教授
1995 – 2005: 名古屋大学, 大学院・多元数理科学研究科, 助教授
1995: 名古屋大学, 大学院・多元教理科学研究科, 助教授
1992 – 1994: 名古屋大学, 理学部, 助手
1989 – 1990: 名古屋大学, 理学部, 助手
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / Geometry / Algebra / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics) / Geometry
Keywords
Principal Investigator
量子群 / 面代数 / 可解格子模型 / 位相的場の量子論 / ホップ代数 / 部分因子環 / 淡中双対性 / RSOS模型 / Jones指数理論 / ヤングバクスター方程式 … More / 面型格子模型 / 低次元トポロジー / 三次元多様体 / ジョーンズ指数理論 / 共形場理論 / inverse matrix / classical invariant theory / Tannaka duality / tensor category / quantum group / 6j-symbol / Littlewood-Richardson則 / Littlewood-Richardson 則 / 逆行列 / 古典不変式論 / テンソル圏 / ホップガロア理論 / 弱ホップ代数 / 三次元多様性 / 表現論 / 古典群 / 作用素環論 / 位相的場の理論 / 抽象調和解析 / 部分因子環論 … More
Except Principal Investigator
共形場理論 / 量子群 / 場の量子論 / 頂点作用素代数 / 不変式環 / vertex operator algebra / conformal field theory / E_8^<(1)>単純楕円特異点 / 有利楕円曲面の周期 / 原始型式 / duality / quantum group / 共形ブロック / 作用 / 良いフィルター付け / モジュラス理論 / 帰納射影概型 / アフィン代数群 / K3曲面 / Young diagram / Symmetric functions / リー代数 / 指標 / Yang-Baxter方程式 / ヤング図形 / 対称関数 / Schubert variety / global F-regularity / geometric quotient / action / スキーム / 正準加群 / 擬関手 / 捻れ逆像 / 捻じれ逆像 / 有限型 / 純 / Schubert多様体 / 大域的F正則性 / 幾何学的商 / 双対性 / quantum field theory / conformal block / 対合をもつ楕円K-3曲面 / A_8-Jacobi型式 / W_n-代数 / Fusion関手 / ZhuのC_2条件 / Quasi-finite代数 / E_8^<(1)> type simple elliptic singulations / period of rational elliptic surface / primitive form / E_8 type elliptic Weyl group / N=2 Virasoro代数 / 有理楕円曲面のMordell-Weil Lattice / Seiberg-Witten微分 / 有理楕円曲面の周期理論 / 楕円型Weyl群 / 楕円型リー環 / 有利楕円曲面の周期理論 / E_8型Elliptic Wey1群 / E_8型Elliptic Weyl群 / strong F-regularity / F-rationality / Gorenstein property / equivariant module / duality theorem / ring of invariants / reductive group / good filtrations / normalization / strongly F-regular / proper morphism / good filtration / invariant / Gorenstein / equivariant / 強F正則性 / F有理性 / Gorenstein性 / 同変加群 / 双対性定理 / 簡約群 / intergrable models / Heisenberg model / Bethe ansatz / 可積分格子模型 / Bethe方程式 / ベーテ仮説 / ベーテ方程式 / 可積分模型 / ハイゼンベルグ模型 / ベーテ仮説法 / Affine Hecke algebra / Conformal Field theory / Affine Lie algebra / Virasoro algebra / 退化型双アファイン・ヘッケ環 / KZ方程式 / アファイン・ヘッケ環 / アファイン・リー環 / ヴィラゾロ代数 / テンソル圏 / 局所コホモロジー / G局所双対性 / G中山の補題 / G局所Gスキーム / G整域 / G準素イデアル / G素イデアル / 不変式論 / 線型簡約群 / G局所スキーム / 同変局所コホモロジー / 密着閉包 / Matlis双対性 / Matijevic-Roberts型定理 / 代数群 / 閉包操作 / 退化理論 / 表現論 / ホップ代数 / ラングランズ予想 / ヒルベルト第5問題 / ドルガチェフ曲面 / 圏論 / 位相的量子力学 / 非可換幾何学 / 微分ガロア理論 / 帰納的射影概型 / ラングランヅ予想 / 場の理論 / グラスマン多様体 / パンルヴェ微分方程式 / モジュラス空間 / スタック理論 / Affine-Lie環 / degenerate double Affine Hecke環 / Yangian Y(sl_2) / 線型Buchsbaum加群 / Brill-Noether軌跡 / Painleve方程式 / Pfaffian / Young図形 / 古典群 / カテゴリー / メタプレクティック表現 / アーベル多様体 / モジュライ空間 / ホッヂ予想 / フーリエ変換 / 可解格子模型 / 無限可積分系 / アファレリー環 / 2次元場の量子論 / Degenerate Affine Hecke algebra. / Yangian / Integral of Motion / ラマヌジャングラフ / 正則グラフ / グラフスペクトル / モジュライ群ー不変共形ブロック / N=2ねじれたヴィラゾロ代数 / リーマン面のモジュライ空間のコホモロジー / 位相的場の理論 / 安定曲線の普遍族 / N=2超共形的リ-環 / リ-環のコホモロジ- / アファイン・リ-環、ヴィラゾロ-リ-環 / Yang-Baxter作用素 / 極小自由分解 / Cohen-Macaulay加群 / Ehrhart多項式 / 行列式イデアル Less
  • Research Projects

    (30 results)
  • Co-Researchers

    (29 People)
  •  Closure operations and actions of algebraic groups

    • Principal Investigator
      HASHIMOTO Mitsuyasu
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  On the study of two dimensional quantum field theory by the methodof representation theory

    • Principal Investigator
      TSUCHIYA Akihiro
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
      Nagoya University
  •  標準淡中双対性と可解格子模型Principal Investigator

    • Principal Investigator
      林 孝宏
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Duality of sheaves with actions

    • Principal Investigator
      HASHIMOTO Mitsuyasu
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Quantum characters of quantum groups and integrable models

    • Principal Investigator
      NAKANISHI Tomoki
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  帰納射影概型の基礎理論とその応用

    • Principal Investigator
      浪川 幸彦
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Representation Theoretic Study of Two Dimensional Quantum Field Theory

    • Principal Investigator
      TSUCHIYA Akihiro
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Representation Theoretic Study of Two Dimensional Quantum Field Theory

    • Principal Investigator
      TSUCHIYA Akihiro
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Study of integrable structure inquanteem integrable model

    • Principal Investigator
      NAKANISHI Tomoki
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Good filtrations and rings of invariants

    • Principal Investigator
      HASHIMORO Mitsuyasu
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  A new quality theorem for tensor category and the equivarence of topological quantum field theoriesPrincipal Investigator

    • Principal Investigator
      HAYASHI Takahiro
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Graduate School of Mathematics, Nagoya University
  •  帰納的影響型の基礎理論

    • Principal Investigator
      浪川 幸彦
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  two dimensional quantum field theory and representation theory

    • Principal Investigator
      TSUCHIYA Akihiro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  低次元位相幾何、部分因子環と面代数Principal Investigator

    • Principal Investigator
      林 孝宏
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Nagoya University
  •  古典群・量子群の表現論とYoung図形の組合せ論

    • Principal Investigator
      岡田 聡一
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  面型量子群と低次元位相幾何学Principal Investigator

    • Principal Investigator
      林 孝宏
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  2次元場の量子論と無限次元リー環および量子群の表現論

    • Principal Investigator
      土屋 昭博
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  面型量子群と部分因子環論Principal Investigator

    • Principal Investigator
      林 孝宏
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Nagoya University
  •  2次元場の量子論と無限次元リー環および量子群の表現論

    • Principal Investigator
      土屋 昭博
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  量子群の表現論と二次元量子可積分系への応用

    • Principal Investigator
      中西 知樹
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  層のカテゴリーとモジュライの研究

    • Principal Investigator
      向井 茂
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  面型量子群と部分因子環論Principal Investigator

    • Principal Investigator
      林 孝宏
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  作用系環論と量子群、古典群の表現論Principal Investigator

    • Principal Investigator
      林 孝宏
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Nagoya University
  •  グラフのスペクトルと不変式論

    • Principal Investigator
      寺西 鎮男
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  2次元場の量子論と無限次元リー環及び量子群の表現論

    • Principal Investigator
      土屋 昭博
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  可解格子模型,共形場理論,部分因子環論と量子群Principal Investigator

    • Principal Investigator
      林 孝宏
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Nagoya University
  •  面型格子模型の量子群的構造Principal Investigator

    • Principal Investigator
      林 孝宏
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  2次元共形場の理論と無限次元リー環の表現論

    • Principal Investigator
      土屋 昭博
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  2次元共形場の理論と無限次元Lie環の表現論

    • Principal Investigator
      TSUCHIYA Akihiro
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  環論、組合せ論、表現論とその応用

    • Principal Investigator
      松村 英之
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  • 1.  TSUCHIYA Akihiro (90022673)
    # of Collaborated Projects: 17 results
    # of Collaborated Products: 0 results
  • 2.  AOMOTO Kazuhiko (00011495)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 3.  OKADA Soichi (20224016)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 4.  NAKANISHI Tomoki (80227842)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 5.  NAMIKAWA Yukihiko (20022676)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 6.  OHTA Hiroshi (50223839)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 7.  YOSHIDA Ken-ichi (80240802)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  向井 茂 (80115641)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 9.  HASHIMOTO Mitsuyasu (10208465)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  小林 亮一 (20162034)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  寺西 鎮男 (20115603)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  梅村 浩 (40022678)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  藤原 一宏 (00229064)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  KANNO Hiroaki (90211870)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  AWATA Hidetoshi (40314059)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  三町 勝久 (40211594)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  KURANO Kazuhiko (90205188)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  松村 英之 (80025270)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  日比 孝之 (80181113)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  吉野 雄二 (00135302)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  砂田 利一 (20022741)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  森本 宏 (20115645)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  吉川 謙一 (20242810)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  谷川 好男 (50109261)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  松本 耕二 (60192754)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  IYAMA Osamu (70347532)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  NAKANISHI Tomoki (00172354)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  KIMURA Yoshifumi (70169944)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  MIYAZAKI Mitsuhiro (90219767)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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