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KATO Mitsuyoshi  加藤 十吉

ORCIDConnect your ORCID iD *help
Researcher Number 60012481
Affiliation (based on the past Project Information) *help 1994 – 1996: 九州大学, 大学院・数理学研究科, 教授
1994: 九州大学, 大学院数理学研究科, 教授
1986 – 1991: 九州大学, 理学部, 教授
1986: 九大, 理学部, 教授
Review Section/Research Field
Principal Investigator
代数学・幾何学 / Geometry
Except Principal Investigator
代数学・幾何学 / Geometry / 解析学 / Algebra
Keywords
Principal Investigator
結び目 / 連結和 / トンネル数 / スピンモデル / アソシェーションスキーム / モジュラー不変性 / アレキサンドロフ空間 / チェビシェフ近似問題 / ガロア分岐被覆 / 軌道体の一意化 … More / フックス型微分方程式 / コクセター図形 / クンマー分岐被覆 / 多変数アレキサンダー多項式 / ジョーンズ多項式 / Q多項式 / 結び目理論 / 3次元多様体 / Heegaard分解 / 曲面の写像類群 / Casson不変量 / 量子群 / Floerホモロジ- / 衛星結び目 / 衛星結び目(Satellite Knet) / コンパニオン(Companion) / Heegaard種数 / Mathieuの問題 / HassーThompson予想 / 位相的量子場理論 / Verlindeの等式 / DeligneーMumfordのコンパクト化 / 写像類群 / キャッソン(Casson)不変量 / Kー2方程式のモノドロミ-表現 / Rー行列 / マスロフ(Maslov)指数 / Knot Theory / 3-Manifold / Mapping Class Group / Casson Invariant / Heegaard Splitting / Floer Homology / Maslov Index / Symplectis Geometry … More
Except Principal Investigator
アレクサンドロフ空間 / 多様体 / 曲率 / 収束理論 / 等長変換群 / isometry group / 葉層構造 / ホモトピー / 特異点 / シンプレクティック多様体 / Uniform Approximation / Good Boundary / Global Solution / Numerical Analysis / Monodromy / K3 surface / Hypergeometric Equation / アソシェ-ションスキイム / 指標表 / GL(n,q) / 代数的組み合せ論 / 配置空間 / モジュライ / 超幾何凾数 / 鏡映群 / 対称領域 / 周期写像 / 佐武コンパクト化 / トロイダル コンパクト化 / リーマン多様体 / 長さの空間 / 等長埋め込み / ハウスドルフ次元 / 第2基本形式 / カレント球面定理 / アレキサンドロフ空間 / 尖点形式 / 一般周期 / p進積分 / Jcobi形式 / Eisenstein級数 / Maass関係 / Galois群 / Benford律 / 共形場理論 / 組みひも群 / チャーンサイモンズ理論 / 3次元多様体 / ウィッテン不変量 / バシリエフ不変量 / モジュライ空間 / 量子群 / モノドロミー表現 / 写像類群 / 降中心列 / 結び目理論 / braid group組紐群 / mapping class goup写像類群 / 3ーmanifold3次元多様体 / conformal field theory共形場理論 / quantum group量子群 / solvable lattice models可解格子模型 / moduli of riemann surfacesリ-マン面のモジュライ空 / Conformal field theory / braid group / Chern-Simons theory / 3-manifold / Witten invariant / Vassiliev invariants / Moduli space / Quantum groups / グロモフ不変量 / 特異空間 / ハウスドルフ収束 / 特異点集合 / 特長変換集合 / 凸超曲面 / Alexandrov space / Gromov imariant / Singular space / Hausdorff convergence / singular set / 代数的組合せ論 / アソシエーションスキーム / スピンモデル / コード / 重さ枚挙多項式 / 有限群の不変式環 / 保型形式 / 正多面体 / コヒアレント・ユンフィグレーション / ヤコビ形式 / 複素鏡映群 / algebraic combinatorics / association schemes / spin model / code / weight enumerator / invariant ring of finite group / automorphic form / regular popyhedron / 単体的体積 / Alexandrov spaces / simplicial volume / convergence theory / collapsing / トポロジー / 位相空間 / Intersection cohomology / ホモロジー / 結び目 / リンク / ブレイド群 / Jones多項式 / 力学系 / 変換群 / モデュライ / 葉層 / Topology / Manifold / Foliations / Homotopy / Homology / Konot / Dynamical System / 低次元多様体 / ジョ-ンズ多項式 / インスタントン / 曲面の写像類群 / フレア-ホモロジ- / 群作用 / 特異点論 / フレア-・ホモロジ- / 位相幾何学 / 曲面束 / クライン群 / シエイプ理論力学系 / Low dimensional topology / Jones polynomials / Instanton / Mapping class groups / Floer homology / Residne Theorem / Resident Theorem / 無限次元の複素解析 / 無限次元の測度論 / フックス型微分方程式 / 複素領域の微分方程式 / 複祇鏡映群 / 多様体上の微分幾何 / 球面と微分同相 / 超球と正則同相 / Residue Theorem Less
  • Research Projects

    (15 results)
  • Co-Researchers

    (39 People)
  •  Geometry of spaces and groups with negative eurvature

    • Principal Investigator
      YAMAGUCHI Takao
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      KYUSHU UNIVERSITY
  •  アレクサンドロフ空間の幾何学

    • Principal Investigator
      SHIOHAMA Katsuhiro
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  アレキサンドロフ空間の位相構造

    • Principal Investigator
      KAMATA Masayoshi
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  Research on association schemes and related topics

    • Principal Investigator
      BANNAI Eiichi
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERSITY
  •  トポロジーとその関連分野の研究Principal Investigator

    • Principal Investigator
      加藤 十吉
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  Convergence Theory for Alexandrov Spaces

    • Principal Investigator
      YAMAGUCHI Takao
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      KYUSHU UNIVERSITY
  •  フックス型線型微分方程式の幾何的研究

    • Principal Investigator
      YOSHIDA Masaaki
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  MATHEMATICAL PHYSICS,TOPOLOGY AND RELATED ALGEBRAIC STRUCTURE

    • Principal Investigator
      KOHNO Toshitake
    • Project Period (FY)
      1991 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      UNIVERSITY OF TOKYO
      Kyushu University
  •  代数的組合せ論の研究(アソシェ-ションスキイムの表現論と分類問題の研究)

    • Principal Investigator
      BANNAI Eiichi
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyushu University
  •  Co-operative Research of TopologyPrincipal Investigator

    • Principal Investigator
      KATO Mitsuyoshi
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyushu University
  •  Co-operative Research on Topology

    • Principal Investigator
      MATSUMOTO Yukio
    • Project Period (FY)
      1988 – 1989
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      University of Tokyo
  •  A Study on the Theory of Functions of Several Complex Variables and Analytic Differential Equations

    • Principal Investigator
      KAJIWARA Joji
    • Project Period (FY)
      1988 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  代数的整数論のP進解析的研究

    • Principal Investigator
      白谷 克巳
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyushu University
  •  ガロア分岐被覆の研究Principal Investigator

    • Principal Investigator
      加藤 十吉
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyushu University
  •  Co-operative Research of Topology

    • Principal Investigator
      KAWAKUBO Katsuo
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  • 1.  SHIOHAMA Katsuhiro (20016059)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 2.  BANNAI Eiichi (10011652)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 3.  山崎 正 (30011696)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 4.  SHIRATANI Katsumi (80037168)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  YOSHIDA Masaaki (30030787)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 6.  末吉 豊 (80128040)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  SATOU Hiroshi (30037254)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  SHIOYA Takashi (90235507)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  BANNAI Etsuko (00253394)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  TANAKA Shunichi (00028127)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  YAMAGUCHI Takao (00182444)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  KAJIWARA Joji (90037169)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  MATSUMOTO Yukio (20011637)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  KOHNO Toshitake (80144111)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  山田 美枝子 (70130226)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  YOKOTA Yoshiyuki (40240197)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  KAMATA Masayoshi (60038495)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  KAWAKUBO Katsuo (50028198)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  KAWAUCHI Akio (00112524)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  MORITA Shigeyuki (70011674)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  NISHIDA Goro (00027377)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  市川 尚志 (20201923)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  川崎 英文 (90161306)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  金光 滋 (60117091)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  金信 泰造 (00152819)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  FUKUDA Takuo (00009599)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  KIMURA Hironobu (40161575)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  NOUMI Masatoshi (80164672)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  KATSURA Toshiyuki (40108444)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  寺田 至 (70180081)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  大塚 寛 (30203839)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  CHOU Kanchi (10197634)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  MUNEMASA Akihiro (50219862)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  小池 正夫 (20022733)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  NISHI Haruko (90274430)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  SAKAI Katsuro (50036084)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  OKA Mutsuo (40011697)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  WATANABE Tadashi (10107724)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  MATSUMOTO Takao (50025467)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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