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Kato Tsuyoshi  加藤 毅

… Alternative Names

KATO Tsuyoshi  加藤 毅

加藤 毅  カトウ ツヨシ

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Researcher Number 20273427
Other IDs
  • ORCIDhttps://orcid.org/0000-0001-5311-4966
Affiliation (Current) 2025: 京都大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help 2015 – 2024: 京都大学, 理学研究科, 教授
2011 – 2016: 京都大学, 理学(系)研究科(研究院), 教授
2015: 京都大学, 大学院理学研究科, 教授
2012: 京都大学, 大学院・情報学研究科, 教授
2012: 京都大学, 大学院・理学研究科, 教授 … More
2008 – 2011: 京都大学, 理学研究科, 教授
2008 – 2010: Kyoto University, 大学院・理学研究科, 教授
2007: Kyoto University, 大学院・理学研究科, 准教授
2007: Kyoto University, Graduate School of Science, Associate Professor
2006: 京都大学, 大学院理学研究科, 助教授
2006: 京都大学, 理学研究科, 助教授
2001 – 2005: 京都大学, 大学院・理学研究科, 助教授
1999: 京大, 理学(系)研究科, 助手
1998: 京都大学, 大学院・理学研究科, 助手
1996: 京都大学, 大学院・理学研究科, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / Basic Section 11020:Geometry-related / Algebra, Geometry, and related fields
Except Principal Investigator
Geometry / Basic Section 12010:Basic analysis-related / Geometry / Science and Engineering / Basic analysis / Global analysis / Algebra
Keywords
Principal Investigator
ゲージ理論 / シンプレクティック多様体 / 非可換幾何学 / キャパシティー / サイバーグ・ウイッテン理論 / バウアー・古田理論 / サイバーグ・ウィッテン理論 / 非コンパクト多様体 / トロピカル幾何学 / 力学系 … More / 無限群 / モジュライ空間 / 非コンパクト空間 / 無限次元多様体 / fiber bundle / サイバーグ・ウイッテン不変量 / 微分トポロジー / 非可換幾何幾何学 / 指数定理 / 無限次元Bott周期性 / Bauer-Fruta理論 / 特性類 / 有限伝搬ユニタリ作用素 / 調和振動子 / ファイバー束 / K理論 / Bauer-Furuta理論 / 分類空間 / 有限伝播性ユニタリ作用素 / シンプルタイプ予想 / ファイバー束の微分構造 / 有限伝播性を持つユニタリ作用素 / 被覆モノポール写像 / 離散モース理論 / Pentagram写像 / ピットマン変換 / 箱玉系 / ホモトピー型 / 量子ランダムウオーク / Nahm変換 / Pitman変換 / キャッソンハンドル / スペクトル解析 / 離散群 / Lpコホモロジー / 非コンパクト空間上の解析 / 無限次元ボット周期性 / サイバーグウイッテン理論 / 普遍被覆空間 / モノポール写像 / 基本群 / 非線形偏微分方程式 / ハミルトン関数 / 概正則曲線 / スケール変換 / 非コンパクト幾何解析 / 微分構造 / 楕円型モジュライ空間 / シンプレクティック幾何学 / キャパシティ- / モジュライ理論 / KdVフロウ / 無限次元シンプレクティック多様体 / 無限離散群 / ノビコフ予想 / C^+環 / 負曲率空間 / Lジーナス / 符号数 … More
Except Principal Investigator
幾何学 / シンプレクティック幾何学 / モジュライ空間 / フレアーホモロジー / 離散可積分系 / Seiberg-Witten理論 / 4次元多様体 / 3次元多様体 / ゲージ理論 / トポロジー / ラグランジュ部分多様体 / ミラー対称性 / 箱玉系 / ザイフェルト多様体 / Heegaard Floerホモロジー / Floerホモロジー / 位相幾何学 / エータ不変量 / 指数定理 / 非可換幾何学 / Pitman変換 / 確率論 / Mirror symmetry / Floer homology / ホモトピー代数 / 3次元多様体 / 4次元多様体 / 低次元トポロジー / 直交多項式 / 古典直交多項式 / ホモロジー3球面 / Godbillon-Vey不変量 / 巡回コホモロジー / 葉層構造 / K理論 / 位相的場の理論 / 解析学 / ハミルトン力学系 / 擬正則曲線 / シンプレクティック多様体 / Wilson-Dirac作用素 / スペクトル切断 / K群 / Bott周期性 / ドメインウォール / 格子指数定理 / バルクエッジ対応 / ザイフェルト3次元多様体 / 国際研究者交流 ウクライナ / オートマトン / 例外型直交多項式 / 特殊関数 / 力学系・可積分系 / homology 3-sphere / Heegaard Floer homology / Seiberg-Witten theory / 4-manifold / 3-manifold / 双曲構造 / キャッソンハンドル / Hamiltonian dynamical system / Topological field theory / quasi-regular curve / A infinity algebra / Lagrangian sublmanifolds / symplectic topology / モース理論 / A無限代数 / Rigid幾何学 / 超ポテンシャル / A無限大代数 / Dブレイン / open string / 曲率と基本群 / シンプレクティック微分同相群 / ループ空間 / A無限大構造 / Lagrangian submanifold / Kuranishi map / pseudoholomorphic curve / moduli space / Homotopical Algebra / Symplectic Geometry / マスロフ指数 / テ-タ関数 / ヤンミルズ方程式 / A無限大カテゴリー / 鏡映対称性 / フレア-ホモロジー / 非可換トーラス / アーベル多様体 / テータ関数 / 軌道体 / ハミルトン系 / 対応 / 倉西写像 / 概正則曲線 / シンプレクティック幾何 / ホモロジーコボルディズム / 非線形微分方程式 / 代数学 / 深谷圏 / 仮想ホモロジー類 / 代数幾何学 / 複素幾何学 / 微分幾何学 / 量子力学 / 数理工学 / 応用数学 / アルゴリズム / 国際情報交換 / 一般化固有値問題 / 双直交関数系 / 超離散可積分系 / 可積分系 / 非可換幾何 / Godbillon-Vey類 / 葉層多様体 / 有理ホモロジー3球面 / Seiber-Witten理論 / 鉛管多様体 / 球面多様体 / フレアホモロジー / 不変量 / 微分トポロジー / 佐々木多様体 / 接触構造 / イタリア:中国:アメリカ / 国際研究者交流 / 位相幾何 / ペンローズ変換 / p進剛幾何学 / Hitchin接続 / 射影的平坦接続 / 写像類群 / ユニタリ性 / 退化 / 代数曲線 / 接続 / 導来圏 / 変形パラメータ / トロピカル幾何学 / 重複ファイバー / 代数多様体の退化 / 無限可積分系 / モジュライ空 / 剛幾何学 / 分岐被覆 / ゲージ対称性 / GNS構成法 / タイヒミュラー / モジュラー函手 / 共形場理論 / 代数科学 / 弦理論 / 素粒子論 / 数理物理 / 超弦理論 / ホモロジー代数 / 特異点理論 / カラビヤウ多様体 / フレア-ホモロジ- / ミラ-対称性 / 量子コホモロジー / トーリック多様体 / シンプレクティク幾何 Less
  • Research Projects

    (29 results)
  • Research Products

    (252 results)
  • Co-Researchers

    (69 People)
  •  離散戸田格子の拡張による古典直交関数系と不変分布・一般化ギブス測度の新展開

    • Principal Investigator
      辻本 諭
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Kyoto University
  •  サイバーグ・ウイッテン理論の進化と4次元微分トポロジーへの応用Principal Investigator

    • Principal Investigator
      加藤 毅
    • Project Period (FY)
      2022 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Kyoto University
  •  Analysis of discrete Integrable systems by probability theory based on Pitman's transformation

    • Principal Investigator
      辻本 諭
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Kyoto University
  •  Pentagram map in tropical geometry and its application to discrete Morse theoryPrincipal Investigator

    • Principal Investigator
      Kato Tsuyoshi
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Challenging Research (Exploratory)
    • Research Field
      Algebra, Geometry, and related fields
    • Research Institution
      Kyoto University
  •  Index theorem and Topological surface state

    • Principal Investigator
      Furuta Mikio
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)
    • Review Section
      Science and Engineering
    • Research Institution
      The University of Tokyo
  •  Construction of the covering monopole map and its applicationsPrincipal Investigator

    • Principal Investigator
      Kato Tsuyoshi
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Various invariants of 3 and 4-manifolds and their applicationsUe

    • Principal Investigator
      Ue Masaaki
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Moduli theory of non linear elliptic operators over non compact manifoldsPrincipal Investigator

    • Principal Investigator
      Kato Tsuyoshi
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Theory of classical orthogonal polynomials in terms of discrete integrable systems and its applications

    • Principal Investigator
      TSUJIMOTO SATOSHI
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Relations between invariants of low-dimensional manifolds and their geometric structures

    • Principal Investigator
      Ue Masaaki
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Proof of Homological Mirror Symmetry

    • Principal Investigator
      Fukaya Kenji
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  非線形方程式のモジュライ空間の幾何学的応用

    • Principal Investigator
      深谷 賢治
    • Project Period (FY)
      2011
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  A generalization of the Atiyah-Singer Index Theorem on Noncommutative manifolds

    • Principal Investigator
      MORIYOSHI Hitoshi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Gauge theory with infinite group actionsPrincipal Investigator

    • Principal Investigator
      KATO Tsuyoshi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Research on systems of the biorthogonal functions, discrete andultradiscrete integrable systems, and their applications

    • Principal Investigator
      TSUJIMOTO Satoshi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kyoto University
  •  Topology of low dimensional manifolds with various geometric structures

    • Principal Investigator
      UE Masaaki
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Geometry of Moduli Spaces and its Application to Infinite Analysis

    • Principal Investigator
      UENO Kenji
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
      Yokkaichi University
      Kyoto University
  •  gauge theory and homotopy theory

    • Principal Investigator
      FURUTA Mikio
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Noncommutative Geometry and equivariant index theorem for twisted group actions

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

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      2006 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Non commutative geometry and moduli spaces of holomorphic curvesPrincipal Investigator

    • Principal Investigator
      KATO Tsuyoshi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  The study of Low-dimensicnal manifolds with various geometric structures

    • Principal Investigator
      UE Masaaki
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  非可換機何学における概正則曲線の研究Principal Investigator

    • Principal Investigator
      加藤 毅
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  非可換ゲージ理論の研究Principal Investigator

    • Principal Investigator
      加藤 毅
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Moduli space, Homotopical algebra, Field theory

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      2001 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  ノビコフ予想の研究Principal Investigator

    • Principal Investigator
      加藤 毅
    • Project Period (FY)
      1999
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Moduli space and infinite dimensional geometry

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  高位の符号数のホモトピー不変性Principal Investigator

    • Principal Investigator
      加藤 毅
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kyoto University
  •  高位の符号数のホモトピー不変性と無限離散群Principal Investigator

    • Principal Investigator
      加藤 毅
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University

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

All Journal Article Presentation Book

  • [Book] Dynamics of the Box-Ball System with Random Initial Conditions via Pitman's Transformation2023

    • Author(s)
      D.Croydon, T.Kato,M.Sasada,S.Tsujimoto
    • Total Pages
      99
    • Publisher
      Memoirs of the American Mathematical Society
    • ISBN
      9781470456337
    • Data Source
      KAKENHI-PROJECT-23K22394
  • [Book] Dynamical scale transform in tropical geometry2017

    • Author(s)
      T. Kato
    • Total Pages
      250
    • Publisher
      World Scientific
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Book] Dynamical scale transform in tropical geometry2016

    • Author(s)
      Tsuyoshi Kato
    • Total Pages
      270
    • Publisher
      World Scientific
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Book] Dynamical scale transform in tropical geometry2015

    • Author(s)
      Tsuyoshi Kato
    • Total Pages
      270
    • Publisher
      world scientific
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Book] Foundations of Rigid Geometry2014

    • Author(s)
      K. Fujiwara, F. Kato
    • Publisher
      to appear in European Mathematical Society Monographs in Mathematics (EMM)
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Book] リジッド幾何学入門2013

    • Author(s)
      加藤文元
    • Total Pages
      300
    • Publisher
      岩波数学叢書,岩波書店
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] A note on exotic families of 4-manifolds2023

    • Author(s)
      Tsuyoshi Kato, Hokuto Konno, and Nobuhiro Nakamura
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 151 Pages: 2695-2705

    • DOI

      10.1090/proc/16356

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K13785, KAKENHI-PROJECT-19K23412, KAKENHI-PROJECT-19H01792
  • [Journal Article] Upper bounds for virtual dimensions of Seiberg-Witten moduli spaces2023

    • Author(s)
      T.Kato, D.Kishimoto, N.Nakamura, K. Yasui
    • Journal Title

      arXiv

      Volume: 2111.15201v2 Pages: 1-20

    • Data Source
      KAKENHI-PROJECT-23K22394
  • [Journal Article] Upper bounds for virtual dimensions of Seiberg-Witten moduli spaces2023

    • Author(s)
      T.Kato, D.Kishimoto, N.Nakamura, K.Yasui
    • Journal Title

      arXiv

      Volume: 2111(15201) Pages: 1-20

    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Journal Article] Homotopy types of spaces of finite propagation unitary operators on Z2022

    • Author(s)
      T.Kato, D.Kishimoto, M.Tsutaya
    • Journal Title

      Homotopy, homology and applications (accepted)

      Volume: 1 Pages: 1-22

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Journal Article] Vector fields on non-compact manifolds2022

    • Author(s)
      T.Kato, D.Kishimoto, M.Tsutaya
    • Journal Title

      arXiv

      Volume: 2211(00512) Pages: 11-11

    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Journal Article] A note on exotic families of 4-manifolds2022

    • Author(s)
      T.Kato, H.Konno, N.Nakamura
    • Journal Title

      Proc. AMS (accepted)

      Volume: 1 Pages: 1-11

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Journal Article] The simple type conjecture for mod 2 Seiberg-Witten invariants2022

    • Author(s)
      Kato Tsuyoshi、Nakamura Nobuhiro、Yasui Kouichi
    • Journal Title

      Journal of the European Mathematical Society

      Volume: - Issue: 12 Pages: 4869-4877

    • DOI

      10.4171/jems/1297

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K03506, KAKENHI-PROJECT-19K03491, KAKENHI-PROJECT-23K22394
  • [Journal Article] Induced map on K-theory for certain $\Gamma$-equivariant maps between Hilbert spaces2021

    • Author(s)
      Kato Tsuyoshi
    • Journal Title

      Journal of Noncommutative Geometry

      Volume: 15 Issue: 4 Pages: 1433-1467

    • DOI

      10.4171/jncg/442

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Journal Article] A note on exotic families of 4-manifolds2021

    • Author(s)
      T. Kato, N. Nakamura, H. Konno
    • Journal Title

      arXiv

      Volume: 2101.00367 Pages: 1-3

    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Journal Article] Homotopy Type of the Unitary Group of the Uniform Roe Algebra on ?n2021

    • Author(s)
      Kato Tsuyoshi, Kishimoto Daisuke, Tsutaya Mitsunobu
    • Journal Title

      Journal of Topology and Analysis

      Volume: - Issue: 02 Pages: 1-18

    • DOI

      10.1142/s1793525321500357

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01792, KAKENHI-PLANNED-17H06461, KAKENHI-PROJECT-22K03284, KAKENHI-PROJECT-17K05248
  • [Journal Article] Homotopy type of the unitary group of the uniform Roe algebra on Z^n2021

    • Author(s)
      Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya
    • Journal Title

      Journal of Topology and Analysis

      Volume: 1 Pages: 1-15

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Journal Article] Hilbert bundles with ends2021

    • Author(s)
      Kato Tsuyoshi、Kishimoto Daisuke、Tsutaya Mitsunobu
    • Journal Title

      Journal of Topology and Analysis

      Volume: - Issue: 02 Pages: 1-32

    • DOI

      10.1142/s1793525321500680

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461, KAKENHI-PROJECT-22K03284, KAKENHI-PROJECT-17K05248, KAKENHI-PROJECT-19H01792
  • [Journal Article] Covering-monopole map and higher degree in non-commutative geometry2021

    • Author(s)
      Kato Tsuyoshi
    • Journal Title

      Journal of Noncommutative Geometry

      Volume: 15 Issue: 3 Pages: 995-1071

    • DOI

      10.4171/jncg/430

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Journal Article] The simple type conjecture for mod 2 Seiberg-Witten invariants2021

    • Author(s)
      Kato Tsuyoshi、 Nakamura Nobuhiro、 Yasui Koichi
    • Journal Title

      Journal of the European Mathematical Society

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Journal Article] L 2 harmonic theory, Seiberg-Witten theory and asymptotics of differential forms2021

    • Author(s)
      Kato Tsuyoshi
    • Journal Title

      Journal of Gokova Geometry Topology

      Volume: 15 Pages: 1-22

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Journal Article] Rigidity of the mod 2 families Seiberg-Witten invariants and topology of families of spin 4-manifolds2021

    • Author(s)
      Tsuyoshi Kato , Hokuto Konno and Nobuhiro Nakamura
    • Journal Title

      Compositio Mathematica

      Volume: 157 Issue: 4 Pages: 770-808

    • DOI

      10.1112/s0010437x2000771x

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K23412, KAKENHI-PLANNED-17H06461, KAKENHI-PROJECT-19K03506
  • [Journal Article] DYNAMICS OF THE BOX-BALL SYSTEM WITH RANDOM INITIAL CONDITIONS VIA PITMAN’S TRANSFORMATION2020

    • Author(s)
      D.Croydon, T.Kato, M.Sasada and S.Tsujimoto
    • Journal Title

      Memoir of AMS (accepted)

      Volume: 1 Pages: 1-89

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K18725
  • [Journal Article] Homotopy types of spaces of finite propagation unitary operators on Z2020

    • Author(s)
      T. Kato, D. Kishimoto, M. Tsutaya
    • Journal Title

      arXiv

      Volume: 2007.05787 Pages: 1-22

    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Journal Article] Induced map on K theory for certain \Gamma-equivariant maps between Hilbert spaces2020

    • Author(s)
      T. Kato
    • Journal Title

      Journal of non commutative geometry (accepted)

      Volume: 1 Pages: 1-34

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K18725
  • [Journal Article] Induced map on K theory for certain Gamma-equivariant maps between Hilbert spaces2020

    • Author(s)
      T. Kato
    • Journal Title

      Journal of non commutative geometry

      Volume: ー

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05146
  • [Journal Article] The simple type conjecture for mod 2 Seiberg-Witten invariants2020

    • Author(s)
      T. Kato, N. Nakamura, K. Yasui
    • Journal Title

      Journal of the European Mathematical Society

      Volume: 1 Pages: 1-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Journal Article] Twisted Donaldson invariants2020

    • Author(s)
      T.Kato, H.Sasahira, H.Wang
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society

      Volume: 1 Pages: 1-52

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Journal Article] Dynamics of the box-ball system with random initial conditions via Pitman’s transformation2019

    • Author(s)
      D. A. Croydon, S. Makiko, T. Kato, S. Tsujimoto
    • Journal Title

      Memoirs of the AMS

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19H01792
  • [Journal Article] Induced map on K theory for certain Γ-equivariant maps between Hilbert spaces2018

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      arXiv

      Volume: 1802.00701 Pages: 1-34

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Journal Article] Twisted Donaldson invariants2018

    • Author(s)
      Tsuyoshi Kato, Hirofumi Sasahira and Hang Wang
    • Journal Title

      arXiv

      Volume: 1709.08861 Pages: 1-46

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Journal Article] L2 harmonic forms and the Seiberg-Witten map on non compact four manifolds2018

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      arXiv

      Volume: 1807.06741 Pages: 1-26

    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Journal Article] Higher Nahm transform in non commutative geometry2018

    • Author(s)
      T. Kato, H. Sasahira and H. Wang
    • Journal Title

      arXiv

      Volume: 1807.08239, Pages: 1-26

    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K18725
  • [Journal Article] DYNAMICS OF THE BOX-BALL SYSTEM WITH RANDOM INITIAL CONDITIONS VIA PITMAN’S TRANSFORMATION2018

    • Author(s)
      D.Croydon, T.Kato, M.Sasada and S.Tsujimoto
    • Journal Title

      arXiv

      Volume: 1806.02147v1 Pages: 1-89

    • Data Source
      KAKENHI-PROJECT-17K18725
  • [Journal Article] Higher Nahm transform in non commutative geometry2018

    • Author(s)
      T. Kato, H. Sasahira and H. Wang
    • Journal Title

      arXiv

      Volume: 1807.08239 Pages: 1-26

    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Journal Article] Spectral coincidence of transition operators, Automata groups and BBS in tropical geometry2017

    • Author(s)
      1.Tsuyoshi Kato, Satoshi Tsujimoto and Andrzej Zuk
    • Journal Title

      Comm. Math. Phys.

      Volume: 350-1 Issue: 1 Pages: 205-229

    • DOI

      10.1007/s00220-016-2702-z

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Journal Article] Covering monopole map and higher degree in non commutative geometry2016

    • Author(s)
      T. Kato
    • Journal Title

      arXiv

      Volume: 1606.02402 Pages: 1-78

    • Open Access
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Journal Article] A fake projective plane via 2-adic uniformization with torsion2016

    • Author(s)
      Daniel Allcock, Fumiharu Kato
    • Journal Title

      Tohoku Math J.

      Volume: 未定

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] A combinatorial Li-Tau inequality and rational points on curves2015

    • Author(s)
      Gunther Cornelissen, Fumiharu Kato, Janne Kool
    • Journal Title

      Math. Ann.

      Volume: 361 Issue: 1-2 Pages: 211-258

    • DOI

      10.1007/s00208-014-1067-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400050, KAKENHI-PROJECT-23224002, KAKENHI-PROJECT-15H03607, KAKENHI-PROJECT-15H03628
  • [Journal Article] Buchberger stratification on the space of polynomials2015

    • Author(s)
      Fumiharu Kato, Kei Ohnoshi
    • Journal Title

      Kumamoto J. Math.

      Volume: 28 Pages: 1-10

    • NAID

      110009930182

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] A note on the pentagram map and tropical geometry2014

    • Author(s)
      T. Kato
    • Journal Title

      arXiv

      Volume: 1405.0084 Pages: 1-8

    • Open Access
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] Spectral coincidence of transition operators, Automata groups and BBS in tropical geometry2014

    • Author(s)
      T. Kato, S. Tsujimoto and A. Zuk
    • Journal Title

      arXiv

      Volume: 1406.5557 Pages: 1-18

    • Open Access
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Journal Article] Automata in groups and dynamics and induced systems of PDE in tropical geometry2014

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Journal of geometric analysis

      Volume: 24-2 Pages: 901-987

    • NAID

      120005619763

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Journal Article] Spectral coincidence of transition operators, automata groups and BBS in tropical geometry2014

    • Author(s)
      T. Kato, S. Tsujimoto and A. Zuk
    • Journal Title

      arXiv

      Volume: 1406.5557 Pages: 1-18

    • Open Access
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] A note on the pentagram map and tropical geometry2014

    • Author(s)
      T Kato
    • Journal Title

      arXiv

      Volume: 1405.0084 Pages: 1-8

    • Open Access
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Journal Article] The densest lattices in PGL3(Q2)2013

    • Author(s)
      Daniel Allcock, Fumiharu Kato
    • Journal Title

      Adv. Math.

      Volume: 242 Pages: 102-115

    • DOI

      10.1016/j.aim.2013.04.003

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340038, KAKENHI-PROJECT-22340001, KAKENHI-PROJECT-23224002, KAKENHI-PROJECT-23540015
  • [Journal Article] Asymptoticallyquasi-conformal four manifolds2012

    • Author(s)
      T.Kato
    • Journal Title

      Journal of Math. Soc. of Japan

      Volume: 64 Pages: 423-487

    • Data Source
      KAKENHI-PROJECT-22540080
  • [Journal Article] Automata in groups and dynamics and induced systems of PDE in tropical geometry2012

    • Author(s)
      T. Kato
    • Journal Title

      Journal of Geometric Analysis

      Volume: 4 Issue: 2 Pages: 1-87

    • DOI

      10.1007/s12220-012-9360-y

    • NAID

      120005619763

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540080, KAKENHI-PROJECT-23224002
  • [Journal Article] Analytic relation on partial differential equations2012

    • Author(s)
      T.Kato and S.Tsujimoto (T.Kato)
    • Journal Title

      Journal of Mathematics Research

      Volume: 4-4 Issue: 4 Pages: 125-139

    • DOI

      10.5539/jmr.v4n4p125

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540080, KAKENHI-PROJECT-22540224
  • [Journal Article] Infinite sequences of almostKaehler manifolds with high symmetry2012

    • Author(s)
      T.Kato
    • Journal Title

      their perturbations and pseudoholomorphic curves

    • Data Source
      KAKENHI-PROJECT-22540080
  • [Journal Article] Asymptotically quasi-conformal four manifolds2012

    • Author(s)
      T. Kato
    • Journal Title

      Journal of Math. Soc. of Japan

      Volume: 64-2 Pages: 423-487

    • NAID

      10030740256

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Journal Article] Automata in groups anddynamics and induced systems of PDE intropical geometry2012

    • Author(s)
      T.Kato
    • Journal Title

      Journal ofGeometric Analysis

      Pages: 87-87

    • Data Source
      KAKENHI-PROJECT-22540080
  • [Journal Article] Analyticrelation on partial differentialequations2012

    • Author(s)
      T.Kato and S.Tsujimoto
    • Journal Title

      Journal of Math Res

      Volume: 14 Pages: 125-139

    • Data Source
      KAKENHI-PROJECT-22540080
  • [Journal Article] An asymptotic comparison ofdifferentiable dynamics and tropicalgeometry2011

    • Author(s)
      T. Kato
    • Journal Title

      Mathematical Physics,Analysis and Geometry

      Volume: 14 Pages: 39-82

    • Data Source
      KAKENHI-PROJECT-22540080
  • [Journal Article] An asymptotic comparison of differentiable dynamics and tropical geometry2011

    • Author(s)
      T.Kato
    • Journal Title

      Mathematical Physics, Analysis and Geometry

      Volume: 14 Pages: 39-82

    • NAID

      120005244988

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Journal Article] On Hausdorff completions of commutative rings in rigid geometry2011

    • Author(s)
      Fujiwara, K.; Gabber, O.; Kato, F.
    • Journal Title

      Journal of Algebra

      Volume: 322 Pages: 293-321

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] Geometric represent-ation of interacting maps2010

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      International Journal of Mathematics and Mathematical Sciences Article ID783738

      Pages: 48-48

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Journal Article] The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves2010

    • Author(s)
      Cornelissen, G. Kato, F. & Kontogeorgis, A.
    • Journal Title

      Israel J. Math.

      Volume: vol.180 Pages: 345-370

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] Geometric representations of interacting maps2010

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      International Journal of Mathematics and Mathematical Sciences

      Volume: Article ID 783738 Pages: 48-48

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Journal Article] The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves2010

    • Author(s)
      Cornelissen, G.; Kato, F.; Kontogeorgis, A.
    • Journal Title

      Israel Journal of Mathematics

      Volume: 180 Pages: 345-370

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] Pattern formation from projectively dynamical systems and it erations by families of maps2010

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 57 Pages: 243-262

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Journal Article] Pattern formation from projectively dynamical systems and iterations by families of maps2010

    • Author(s)
      T. Kato
    • Journal Title

      in the Proceedings of the 1st MSJ-SI, Probabilistic Approach to Geometry, Advanced Studies in Pure Mathematics Vol57

      Pages: 243-262

    • Data Source
      KAKENHI-PROJECT-18540079
  • [Journal Article] An asymptotic comparison of differentiable dynamics and tropical geometry2010

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Mathematical Physics, Analysis and Geometry

      Volume: 14-1 Pages: 39-82

    • NAID

      120005244988

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Journal Article] Pattern formation from projectively dynamical systems and iterations by families of2010

    • Author(s)
      T.Kato
    • Journal Title

      Adv.Stud.Pure Math.

      Volume: 57 Pages: 243-262

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Pattern formation from projectively dynamical systems and iterations by families of maps2010

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Advanced studies in pure mathematics Vol.57

      Pages: 243-262

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] Pattern formation from projecively dynamical systems and iterations by families of maps2010

    • Author(s)
      Tauyoshi Kato
    • Journal Title

      Advanced studies in pure mathematics 57

      Pages: 243-262

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Journal Article] Pattern formation from projectively dynamical systems and iterations by families of maps2010

    • Author(s)
      Kato, T.
    • Journal Title

      Advanced Studies in Pure Math.

      Volume: vol.57 Pages: 243-262

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] A rough analytic relation on partial differential equations2010

    • Author(s)
      T. Kato, S. Tsujimoto
    • Journal Title

      math. MG arXiv:1004.4981v1

    • Data Source
      KAKENHI-PROJECT-18540079
  • [Journal Article] Geometric representations of interacting maps2010

    • Author(s)
      T.Kato
    • Journal Title

      Int.J.Math.Math.Sci.

      Volume: 2010

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Pattern formation from projectively dynamics in tropical geometry, Proceedings of the 1^<st> MSJ-SI2010

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Probabilistic Approach to Geometry, Advanced studies in pure and applied math. Vol.57

      Pages: 243-262

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Journal Article] Geometric Representations of Interacting Maps2010

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      International Journal of Mathematics and Mathematical Sciences

      Volume: Vol2010 Pages: 48-48

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Journal Article] Pattern formation from projectively dynamics in tropical geometry2010

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Advanced studies in pure and applied math

      Volume: 57 Pages: 243-262

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Journal Article] Geometric Representations ofInteracting Maps2010

    • Author(s)
      T. Kato
    • Journal Title

      InternationalJournal of Mathematics and MathematicalSciences

      Pages: 48-48

    • Data Source
      KAKENHI-PROJECT-22540080
  • [Journal Article] Pattern formation fromprojectively dynamical systems anditerations by families of maps2010

    • Author(s)
      T.Kato
    • Journal Title

      in theProc. of the 1st MSJ-SI, Adv. Studies inPure Mathematics

      Volume: 57 Pages: 243-262

    • Data Source
      KAKENHI-PROJECT-22540080
  • [Journal Article] Deformations of real rational dynamics in tropical geometry2009

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Geometric and Functional Analysis Vol.19

      Pages: 842-882

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] Deformations of real rational dynamics in tropical geometry2009

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Geom.Funct.Anal Vol.19

      Pages: 883-901

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Journal Article] Deformations of real rational dynamics in tropical geometry2009

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Geom.Funct.Anal. 19

      Pages: 883-901

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Journal Article] 力学系のスケール変換と相互作用グラフ2009

    • Author(s)
      加藤毅
    • Journal Title

      数理解析研究所講究録 1650

      Pages: 13-33

    • Data Source
      KAKENHI-PROJECT-18540079
  • [Journal Article] Deformations of real rational dynamics in tropical geometry2009

    • Author(s)
      Kato, Tsuyoshi
    • Journal Title

      Geom. Funct. Anal

      Volume: no.3 Pages: 883-901

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Deformations of real rational dynamics in tropical geometry2009

    • Author(s)
      T. Kato
    • Journal Title

      Geometric and Functional Analysis Vol19-3

      Pages: 883-901

    • Data Source
      KAKENHI-PROJECT-18540079
  • [Journal Article] 力学系のスケール変換と相互作用グラフ2009

    • Author(s)
      加藤毅
    • Journal Title

      数理解析研究所講究録 No1650

      Pages: 13-33

    • Data Source
      KAKENHI-PROJECT-18540079
  • [Journal Article] Deformations of real rational dynamics in tropical geometry.2009

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Geom.Funct.Anal. 19

      Pages: 883-901

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] An asymptotic comparison of differentiable dynamics and tropical geometry2009

    • Author(s)
      T. Kato
    • Journal Title

      (preprint)

    • NAID

      120005244988

    • Data Source
      KAKENHI-PROJECT-18540079
  • [Journal Article] Deformations of real rational dynamics in tropical geometry2009

    • Author(s)
      Tauyoshi Kato
    • Journal Title

      Geometric and Functional Analysis 19

      Pages: 842-882

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Journal Article] Deformations of real rational dynamics in tropical geoemtry2009

    • Author(s)
      T. Kato
    • Journal Title

      Geometric and Functional Analysis

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Journal Article] Deformations of real rational dynamics in tropical geometry2009

    • Author(s)
      Kato, T.
    • Journal Title

      Geometric and Functional Analysis

      Volume: vol.19 Pages: 842-882

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] Deformations of real rational dynamics in tropical geometry2009

    • Author(s)
      T. Kato
    • Journal Title

      Geom.Funct.Anal. 19

      Pages: 883-901

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Growth of Casson handles and transversality for ASD moduli spaces2008

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Geometry and Topology 12

      Pages: 1265-1311

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Journal Article] Growth of Casson handles and transversality for ASD moduli spaces2008

    • Author(s)
      Kato, Tsuyoshi
    • Journal Title

      Geom. Topol.

      Volume: 12, no.3 Pages: 1265-1311

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Growth of Casson handles and transversality for ASD moduli spaces.2008

    • Author(s)
      Kato, Tsuyoshi
    • Journal Title

      Geom. Topol. 12-3

      Pages: 1265-1311

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] Growth of Casson handles and transversality for ASD moduli spaces2008

    • Author(s)
      T.Kato
    • Journal Title

      Geometry and Topology vol 12

      Pages: 1265-1311

    • Data Source
      KAKENHI-PROJECT-18540079
  • [Journal Article] On the Shimura variety having Mumford's fake projective plane as a connected component2008

    • Author(s)
      Kato, F.
    • Journal Title

      Math. Zeitschrift

      Volume: vol.259 Pages: 613-641

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] Growth of Casson handles and transversality for ASD moduli spaces2008

    • Author(s)
      Kato, T.
    • Journal Title

      Geom. Topol. 12

      Pages: 1265-1311

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Growth of Casson handles and transversality for ASD moduli spaces.2008

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Geom. Topol. 12

      Pages: 1265-1311

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] Growth of Casson handles and transversality for ASD moduli spaces2008

    • Author(s)
      T. Kato
    • Journal Title

      Geometry and Topology 12

      Pages: 1265-1311

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Journal Article] On the Shimura variety having Mumford's fake projective plane as a connected component.2008

    • Author(s)
      Kato, Fumiharu
    • Journal Title

      Math. Z. 259-3

      Pages: 631-641

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] Growth of Casson handles and transversality for ASD moduli spaces2008

    • Author(s)
      T. Kato
    • Journal Title

      Geometry and Topology vol12

      Pages: 1265-1311

    • Data Source
      KAKENHI-PROJECT-18540079
  • [Journal Article] Growth of Casson handles and transversality for ASD moduli spaces2008

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Geometry and Topology Vol.12

      Pages: 1265-1311

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Journal Article] On the Shimura variety having Mumford's fake projective plane as a connected component.2008

    • Author(s)
      Fumiharu Kato
    • Journal Title

      Math. Z. 259

      Pages: 631-641

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] Entropy comparisons and codings on interacting maps2006

    • Author(s)
      T. Kato
    • Journal Title

      (preprint)

    • Data Source
      KAKENHI-PROJECT-18540079
  • [Journal Article] Interacting maps, symbolic dynamics and automorphisms in microscopic scale2005

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      International Journal of Pure and Applied Mathematics 25-3

      Pages: 311-374

    • Data Source
      KAKENHI-PROJECT-15740037
  • [Journal Article] ASD moduli spaces over four-manifolds with tree-like ends2004

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Geometry and Topology 8

      Pages: 779-830

    • Data Source
      KAKENHI-PROJECT-15740037
  • [Journal Article] Spectral analysis on tree like spaces form gauge theoretic view points2004

    • Author(s)
      Tsuyoshi Kato
    • Journal Title

      Contemporary Mathematics, AMS 347

      Pages: 113-129

    • Data Source
      KAKENHI-PROJECT-15740037
  • [Journal Article] ASD moduli spaces over four manifolds with tree-like ends2004

    • Author(s)
      T. Kato
    • Journal Title

      Geometry and Topology vol 8

      Pages: 779-830

    • Data Source
      KAKENHI-PROJECT-18540079
  • [Journal Article] Growth of Casson handles and trasversality for ASD moduli spaces

    • Author(s)
      加藤 毅
    • Journal Title

      Geometry and Topology (掲載確定)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540081
  • [Journal Article] Growth of Casson handles and trasversality for ASD moduli spaces

    • Author(s)
      加藤 毅
    • Journal Title

      Geometry and Topology (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540081
  • [Journal Article] Growth of Casson handles and trasversality for ASD moduli spaces

    • Author(s)
      Tsuyoshi, Kato
    • Journal Title

      Geometry and Topology (refereed to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540081
  • [Journal Article] Deformations of real rational dynamics in tropical geometry

    • Author(s)
      T. Kato
    • Journal Title

      to appear in Geometric and Functional Analysis (acceped)

    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Covering monopole map and aspherical 10/8-conjecture2023

    • Author(s)
      T. Kato
    • Organizer
      Conference `Geometric Analysis' at Universitat Regensburg
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K22394
  • [Presentation] Covering monopole map and aspherical 10/8-conjecture2023

    • Author(s)
      T.Kato
    • Organizer
      Conference `Geometric Analysis' at Universitat Re Germanygensburg,
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Presentation] L^2 harmonic theory and Seiberg-Witten・Bauer-Furuta theory on non-compact complete Riemannian 4-manifolds2020

    • Author(s)
      Kato Tsuyoshi
    • Organizer
      The Eighth Pacific Rim Conference in Mathematics, Session on Differential Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Presentation] L^2 harmonic theory and Seiberg-Witten・Bauer-Furuta theory on non-compact complete Riemannian 4-manifolds2020

    • Author(s)
      Kato Tsuyoshi
    • Organizer
      SouthamptonKyoto Workshop 2
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Presentation] A rigidity theorem of the Z_2-valued Seiberg-Witten invariants for spin families2019

    • Author(s)
      Kato Tsuyoshi
    • Organizer
      Index Theory, Duality and Related FieldsIn honour of Varghese Mathai’s 60th birthday
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Presentation] Some development of Seiberg-Witten theory and related topics2019

    • Author(s)
      T. Kato
    • Organizer
      Soton-Kyoto workshop2019
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05146
  • [Presentation] A rigidity theorem of the Z_2 valued Seiberg-Witten invariants for spin families2019

    • Author(s)
      T. Kato
    • Organizer
      Index Theory, Duality and Related Fields
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05146
  • [Presentation] Twisted Donaldson invariant2019

    • Author(s)
      Kato Tsuyoshi
    • Organizer
      K-theory and Noncommutative Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Presentation] Twisted Donaldson invariant2019

    • Author(s)
      T. Kato
    • Organizer
      K-theory and Noncommutative Geometry
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05146
  • [Presentation] Seiberg-Witten理論周辺の応用と発展2019

    • Author(s)
      T. Kato
    • Organizer
      幾何学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05146
  • [Presentation] Seiberg-Witten 理論周辺の応用と発展2019

    • Author(s)
      加藤毅
    • Organizer
      第66回幾何学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Presentation] Twisted Donaldson invariant2018

    • Author(s)
      t. Kato
    • Organizer
      Gauge Theory and Applications at Regensburg
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Presentation] Twisted Donaldson invariant2018

    • Author(s)
      加藤毅
    • Organizer
      Gauge Theory and Applications, Universit&auml;t Regensburg
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Presentation] Twisted Donaldson invariant2018

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Topology/Geometry lectures at Seoul National Univ
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Presentation] Non commutative geometry and gauge theory2018

    • Author(s)
      T. Kato
    • Organizer
      Geometry, Analysis, Groups at Euler Institute, St Petersburg
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Presentation] Twisted Donaldson invariant2018

    • Author(s)
      T. Kato
    • Organizer
      Colloquium talk at University of New South Wales
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Presentation] Higher Nahm transform in non commutative geometry2018

    • Author(s)
      T. Kato
    • Organizer
      2018 Spring operator algebra program at ECNU
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K18725
  • [Presentation] Higher Nahm transform in non commutative geometry2018

    • Author(s)
      T. Kato
    • Organizer
      2018 Spring operator algebra program at ECNU
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Presentation] Twisted Donaldson invariant2018

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Non commutative geometry seminar at Pennsilvania State University
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Presentation] Twisted Donaldson invariant2018

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Gauge theory in Fukuoka
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Presentation] Higher Nahm transform in non commutative geometry2018

    • Author(s)
      T. Kato
    • Organizer
      Workshop on Noncommutative Geometry and Representation Theory/四川大学
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02841
  • [Presentation] Twisted Donaldson invariant2018

    • Author(s)
      加藤毅
    • Organizer
      Gauge Theory in Fukuoka
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Presentation] Higher Nahm transform in non commutative geometry2018

    • Author(s)
      T. Kato
    • Organizer
      Workshop on Noncommutative Geometry and Representation Theory・四川大学
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K18725
  • [Presentation] Covering monopole map in non commutative geometry,2017

    • Author(s)
      T. Kato
    • Organizer
      Complex geometry and geometric analysis
    • Place of Presentation
      明治大学
    • Year and Date
      2017-03-13
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] Covering monopole map in non commutative geometry2017

    • Author(s)
      T. Kato
    • Organizer
      NCG Shanghai 2017, Connes 70 anniversary
    • Place of Presentation
      復旦大学
    • Year and Date
      2017-03-23
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] Higher degree of the covering monopole map in non commutative geometry2017

    • Author(s)
      T. Kato
    • Organizer
      Math of Gauge fields, Simons Center for Geometry and Physics
    • Place of Presentation
      ストニーブルーク大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] 被覆モノポール写像とその応用2017

    • Author(s)
      加藤 毅
    • Organizer
      東工大幾何セミナー
    • Place of Presentation
      東京工業大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] Higher degree of the covering monopole map,2017

    • Author(s)
      T. Kato
    • Organizer
      second Australia-Japan Geometry, Analysis and its applications
    • Place of Presentation
      京都大学
    • Year and Date
      2017-01-30
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] Higher degree of the covering monopole map in four manifold theory2016

    • Author(s)
      T. Kato
    • Organizer
      Perspectives and Challenges in Mathematical Sciences
    • Place of Presentation
      ハイデルベルグ大学
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] Higher degree of the covering monopole map and its computation 1,2,32016

    • Author(s)
      T. Kato,
    • Organizer
      Geometric Analysis in Geometry and Topology 2016
    • Place of Presentation
      東京工業大学
    • Year and Date
      2016-12-12
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] On Henselian rigid geometry2016

    • Author(s)
      Fumiharu Kato
    • Organizer
      Conference “Algebraic Geometry in East Asia 2016
    • Place of Presentation
      University of Tokyo
    • Year and Date
      2016-01-19
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] K theoretic degree of the covering monopole map2015

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Australia-Japan Geometry, Analysis and their applications
    • Place of Presentation
      Australia Adelaide University
    • Year and Date
      2015-10-19
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] K theoretic degree of the covering monopole map2015

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Australia-Japan Geometry, Analysis and their applications
    • Place of Presentation
      オーストラリアアデレード大学
    • Year and Date
      2015-10-19
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] Non-archimedean geometry ― past and present2015

    • Author(s)
      Fumiharu Kato
    • Organizer
      A Symposium on the History of Functional Analysis
    • Place of Presentation
      School of Mathematics, Northwest University, Xian, China
    • Year and Date
      2015-05-09
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] K theoretic degree of the covering monopole map2015

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Geometry seminar
    • Place of Presentation
      アメリカバンダービルト大学
    • Year and Date
      2015-09-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] NOn linear analysis over infinite dimensional spaces and its applications2015

    • Author(s)
      T. Kato
    • Organizer
      Colloquium talk at University of Adelaide
    • Place of Presentation
      Adelaide
    • Year and Date
      2015-02-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] K theoretic degree of the covering monopole map2015

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Geometry seminar
    • Place of Presentation
      Vanderbildt University
    • Year and Date
      2015-09-25
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Non linear analysis over infinite dimensional spaces and its applications2015

    • Author(s)
      T. Kato
    • Organizer
      Colloquium talk at Univ. Adelaide
    • Place of Presentation
      Adelaide
    • Year and Date
      2015-02-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Zariski Main Theorem for henselian rigid spaces2015

    • Author(s)
      Fumiharu Kato
    • Organizer
      Conference “Non-archimedean analytic geometry: Theory and Practice”
    • Place of Presentation
      Maison de la Culture, Papeete, Tahiti
    • Year and Date
      2015-08-25
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Growth of Casson handles and Yang-Mills gauge theory over non compact four manifolds2014

    • Author(s)
      T. Kato
    • Organizer
      Colloquium talk at Humboldt University
    • Place of Presentation
      Berlin
    • Year and Date
      2014-11-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Spectral coincidence of transition operators, automata groups and BBS in tropical geometry2014

    • Author(s)
      T. Kato
    • Organizer
      Geoemtry and Physics seminar
    • Place of Presentation
      Penn State Univ.
    • Year and Date
      2014-09-02
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Spectral coincidence of transition operators, Automata groups and BBS in tropical geometry2014

    • Author(s)
      T. Kato
    • Organizer
      Geometry and Physics seminar
    • Place of Presentation
      Pennsilvania
    • Year and Date
      2014-09-02
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] Hamiltonian deformation of groups acting on trees2013

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      China-Japan conference on non-commutative geometry
    • Place of Presentation
      Chunchun, China
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] Non linear analysis over infinite dimensional spaces and its application2013

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Colloquium talk
    • Place of Presentation
      La Sapienza, Italy
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] Spectral coincidence between lamplighter and BBS automata2013

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Seminaire Algebres d'operateurs
    • Place of Presentation
      Universite Paris 7, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] Hamiltonian deformation of groups acting on trees2013

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      11-th annual spring institute on non-commutative geometry and operator algebras
    • Place of Presentation
      Nashville, USA
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] A rough analytic relation onPDE2013

    • Author(s)
      T.Kato
    • Organizer
      China-Japan Joint Workshop onIntegrable Systems
    • Place of Presentation
      Kyoto University
    • Year and Date
      2013-03-19
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Hamiltonian deformation ofgroups acting on trees2013

    • Author(s)
      T.Kato
    • Organizer
      DiscreteGeoemtry and dynamical systems
    • Place of Presentation
      KyotoUniversity
    • Year and Date
      2013-01-25
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Hamiltonian deformation of groups acting on trees2013

    • Author(s)
      T.Kato
    • Organizer
      Discrete Geoemtry and dynamical systems
    • Place of Presentation
      京都大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Automata groups and tropical geometry2012

    • Author(s)
      T.Kato
    • Organizer
      International conference on groups, dynamics and random structures
    • Place of Presentation
      Texas, USA(招待講演)
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Hamiltonian deformation ofgroups acting on trees2012

    • Author(s)
      T.Kato
    • Organizer
      Geometry andAnalysis
    • Place of Presentation
      Universite Paris 7, Paris
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Moduli theory over infinite dimensional spaces2012

    • Author(s)
      T.Kato
    • Organizer
      日中幾何学友好研究集会
    • Place of Presentation
      四川大学, 中国
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Symplectic capacity oninfinite dimensional spaces2012

    • Author(s)
      T.Kato
    • Organizer
      Topologyand Functional Analysis
    • Place of Presentation
      FudanUnviersity, China
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Moduli theory over infinitedimensional spaces2012

    • Author(s)
      T.Kato
    • Organizer
      Geometry andAnalysis
    • Place of Presentation
      Universite Paris 7, Paris
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Hamiltonian deformation of groups acting on trees2012

    • Author(s)
      T.Kato
    • Organizer
      Geometry and Analysis
    • Place of Presentation
      Universite Paris 7, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Moduli theory over infinite dimensional spaces2012

    • Author(s)
      T.Kato
    • Organizer
      Geometry and Analysis
    • Place of Presentation
      Universite Paris 7, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Moduli theory over infinitedimensional spaces2012

    • Author(s)
      T.Kato
    • Organizer
      日中幾何学友好研究集会
    • Place of Presentation
      四川大学 成都 中国
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Automata groups and tropicalgeometry2012

    • Author(s)
      T. Kato
    • Organizer
      International Conferenceon Groups
    • Place of Presentation
      Texas A&M, USA
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Moduli theory of holomorphic curves on infinite dimensional spaces2012

    • Author(s)
      T.Kato
    • Organizer
      Topology and Functional Analysis
    • Place of Presentation
      Fudan University, China
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Hyperbolic systems of PDEsand automata groups2011

    • Author(s)
      T. Kato
    • Organizer
      Workshop onautomata groups and non-commutativegeometry
    • Place of Presentation
      Univ.Paris 7, France
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Automata groups, tropicalgeometry and dynamical Burnsideproblem2011

    • Author(s)
      T.Kato
    • Organizer
      Seminar on geometry
    • Place of Presentation
      Universite Paris 7, France
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Automata in groups and dynamics in tropical geometry2011

    • Author(s)
      T.Kato
    • Organizer
      京都復旦国際交流会議
    • Place of Presentation
      上海中国
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Dynamical Burnside Problem2011

    • Author(s)
      T. Kato
    • Organizer
      Seminar on groups
    • Place of Presentation
      VanderbiltUniversity, USA
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Automata groups and largescale analysis of PDE, Long termworkshop2011

    • Author(s)
      T. Kato
    • Organizer
      Geometry and Analysis
    • Place of Presentation
      Kyoto University
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Dynamical Burnside Problem2011

    • Author(s)
      T. Kato
    • Organizer
      Fourth friendship meeting betweenFudan and Kyoto Universities
    • Place of Presentation
      Shanghai, China
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] オートマタ群とトロピカル幾何学2011

    • Author(s)
      加藤 毅
    • Place of Presentation
      仙台シンポジウム 東北大学
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Hyperbolic systems of PDEs and automata groups in tropical geometry2011

    • Author(s)
      T.Kato
    • Organizer
      Workshop on automata groups and non commutative geometry
    • Place of Presentation
      Universite Paris, France(招待講演)
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Dynamical Burnside Problem2011

    • Author(s)
      T.Kato
    • Organizer
      Colloqium at Vanderbilt University
    • Place of Presentation
      Nashville, USA(招待講演)
    • Year and Date
      2011-11-16
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Automata groups and large scale analysis of PDE2011

    • Author(s)
      加藤毅
    • Organizer
      研究集会フラクタルの数学的諸相
    • Place of Presentation
      石川県かんぽの宿山代(招待講演)
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Automata groups, tropical geometry and dynamical Burnside problem2011

    • Author(s)
      T.Kato
    • Organizer
      Workshop on AG and NCG
    • Place of Presentation
      Universite Paris 7, France(招待講演)
    • Year and Date
      2011-12-15
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Automata groups and large scale analysis of PDE2011

    • Author(s)
      T.Kato
    • Organizer
      Longterm workshop Geometry and Analysis
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] yperbolic systems of PDEs,and automata groups in tropicalgeometry2010

    • Author(s)
      T. Kato
    • Organizer
      International workshopGeometry and Analysis
    • Place of Presentation
      UniversiteParis 7, France
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] A rough equivalence among partial differential equations2010

    • Author(s)
      T. Kato
    • Organizer
      国際研究集会沖縄日中幾何学友好研究集会
    • Place of Presentation
      OIST沖縄
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Growth of Casson handles and smooth structure on 4-manifolds2010

    • Author(s)
      T.Kato
    • Organizer
      Colloquium at Fudan University
    • Place of Presentation
      上海 中国(招待講演)
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Growth of Casson handles and smooth structure on 4-manifolds2010

    • Author(s)
      T.Kato
    • Organizer
      Pacific Rim Conference
    • Place of Presentation
      Stanford University, USA(招待講演)
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] A rough analytic relation onthe set of partial differentialequations2010

    • Author(s)
      T. Kato
    • Organizer
      International conferenceon Mathematical Sciences and TheirApplications
    • Place of Presentation
      Yamanashi, Japan
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Growth of Casson handles and smooth structure o n 4-manifolds2010

    • Author(s)
      加藤毅
    • Organizer
      Colloquium at Aarhus University
    • Place of Presentation
      Denmark.
    • Year and Date
      2010-03-26
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Presentation] オートマタ群と2変数偏微分方程式類2010

    • Author(s)
      加藤毅
    • Organizer
      幾何学阿蘇研究集会
    • Place of Presentation
      熊本(招待講演)
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] A rough analytic relation on the set of partial differential equations2010

    • Author(s)
      T.Kato
    • Organizer
      Long-term workshop : Mathematical Sciences and Their Applications
    • Place of Presentation
      上諏訪(招待講演)
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Hyperbolic systems of PDEs and automata groups in tropical geometry2010

    • Author(s)
      T.Kato
    • Organizer
      International workshop Geometry and Analysis
    • Place of Presentation
      Universite Paris7, France(招待講演)
    • Year and Date
      2010-12-14
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Automata groups and PDE in tropica-geometry2010

    • Author(s)
      加藤毅
    • Organizer
      確率論と幾何学
    • Place of Presentation
      東北大学(招待講演)
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] オートマタ群と2変数偏微分方程式類2010

    • Author(s)
      加藤 毅
    • Organizer
      幾何学阿蘇研究集会
    • Place of Presentation
      熊本
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Automata groups and PDE intropical geometry2010

    • Author(s)
      T. Kato
    • Place of Presentation
      東北大学
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Growth of Casson handles and smooth structures on 4-manifolds2010

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Pacific Rim Conference
    • Place of Presentation
      Stanford University, USA
    • Year and Date
      2010-06-17
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Presentation] Growth of Casson handles and smooth structure on 4-manifolds2010

    • Author(s)
      加藤毅
    • Organizer
      Colloquium at University of Southern California
    • Place of Presentation
      USA.
    • Year and Date
      2010-09-17
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Presentation] A rough analytic relation on partial differential equations2010

    • Author(s)
      加藤毅
    • Organizer
      新たな幾何学探訪研究会
    • Place of Presentation
      松島
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Growth of Gasson handles and smooth structure on 4-manifolds2010

    • Author(s)
      T.Kato
    • Organizer
      Colloquium at University of Sourthen Caifornia
    • Place of Presentation
      California, USA(招待講演)
    • Year and Date
      2010-09-17
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] Growth of Casson handles and smooth structure on 4-manifolds2010

    • Author(s)
      加藤毅
    • Organizer
      Pacific Rim Conference
    • Place of Presentation
      University, USA.
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Presentation] Complexity of smooth structure on four manifolds2010

    • Author(s)
      T.Kato
    • Organizer
      Doctorial Forum between Fudan and Kyoto Universities
    • Place of Presentation
      復旦大学 上海 中国
    • Year and Date
      2010-11-15
    • Data Source
      KAKENHI-PROJECT-22540080
  • [Presentation] A rough equivalence on partial differential equations2009

    • Author(s)
      T. Kato
    • Organizer
      国際研究集会
    • Place of Presentation
      パリ第7大学・フランス
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Artin-Schreier Mumford curves.2009

    • Author(s)
      Fumiharu Kato
    • Organizer
      Moduli and Discrete Groups
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-12
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Presentation] トロピカル幾何学と離散力学系2009

    • Author(s)
      加藤毅
    • Organizer
      有理曲面上の複素力学系
    • Place of Presentation
      九州大学
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] トロピカル幾何学と離散力学系「研究集会有理曲面上の複素力学系」2009

    • Author(s)
      加藤毅
    • Place of Presentation
      九州大学
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] A rough equivalence on partial differential equations, International Conference.2009

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Geometry and Analysis
    • Place of Presentation
      Universite Paris 7, France
    • Year and Date
      2009-12-23
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Presentation] Artin-Schreier Mumford curves2009

    • Author(s)
      Kato, F.
    • Organizer
      Moduli and Discrete Groups
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-12
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Presentation] Growth of Casson handles and complexity of smooth structure2009

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      International conference on K-theory, C^* algebras and topology of manifolds
    • Place of Presentation
      Chern Institute of Mathe matics, Tianjin, China
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] A rough equivalence among partial differential equations2009

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      沖縄日中幾何学友好研究集会
    • Place of Presentation
      沖縄科学技術研究基盤整備機構
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] An index theory over Casson handles and complexity of smooth structure on K3 surface.2009

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Geometry Colloquium
    • Place of Presentation
      中国復旦大学
    • Year and Date
      2009-06-08
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Presentation] A rough equivalence on partial differential equations, Geometry and Analysis2009

    • Author(s)
      加藤毅
    • Organizer
      International conference at Paris 7.
    • Year and Date
      2009-12-21
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Presentation] An index theory over Casson handles and complexity of smooth structure on K3 surface2009

    • Author(s)
      T. Kato
    • Place of Presentation
      Fudan University, Shanghai, China
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Growth of Casson handles and complexity of smooth structure2009

    • Author(s)
      T. Kato
    • Organizer
      国際研究集会
    • Place of Presentation
      Chern Institute of Mathematics, Tianjin, China
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] 離散力学系とトロピカル幾何学2009

    • Author(s)
      加藤毅
    • Organizer
      日本数学会企画特別講演
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-28
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] 離散力学系とトロピカル幾何学「日本数学会企画特別講演」2009

    • Author(s)
      加藤毅
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-28
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] An index theory over Casson handles and complexity of smooth structure on K3 surface2009

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Geometry Colloquium
    • Place of Presentation
      中国 復旦大学
    • Year and Date
      2009-06-08
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] 離散力学系のスケール変換とトロピカル幾何学2009

    • Author(s)
      加藤毅
    • Organizer
      研究集会多様体上の微分方程式
    • Place of Presentation
      富山呉羽ハイツ
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] 離散力学系のスケール変換とトロピカル幾何学「研究集会多様体上の微分方程式」2009

    • Author(s)
      加藤毅
    • Place of Presentation
      富山呉羽ハイツ
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] 離散力学系とスケール変換2009

    • Author(s)
      加藤毅
    • Organizer
      群と力学に関わる離散幾何学
    • Place of Presentation
      愛媛大学
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] A rough equivalence on partial differential equations2009

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      International Conference, Geometry and Analysis
    • Place of Presentation
      Universite Paris 7, France
    • Year and Date
      2009-12-23
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Presentation] 力学系のスケール変換2「複雑系セミナー・幾何学コロキウム合同連続講演」2009

    • Author(s)
      加藤毅
    • Place of Presentation
      北海道大学
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] 離散力学系とスケール変換「研究集会群と力学系に関わる離散幾何学」2009

    • Author(s)
      加藤毅
    • Place of Presentation
      愛媛大学
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] 離散力学系とトロピカル幾何学2009

    • Author(s)
      加藤毅
    • Organizer
      日本数学会2009年度年会企画特別講演
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-29
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Presentation] An index theory over Casson handles and complexity of smooth structure on K3 surface2009

    • Author(s)
      加藤毅
    • Organizer
      Colloquium at Fudan University
    • Place of Presentation
      Shanghai, China.
    • Year and Date
      2009-07-08
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Presentation] An index theory over Casson handles and complexity of smooth structure on K3 surface2009

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Geometry Colloquium
    • Place of Presentation
      中国 復旦大学
    • Year and Date
      2009-06-08
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Presentation] A rough equivalence on partial differential equations2009

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      International Conference, Geometry and Analysis
    • Place of Presentation
      Universite Paris 7,
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Growth of Casson handles and Yang-Mills gauge theory2008

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      The 4-th Geometry conference for the Friendship of China and Japan
    • Place of Presentation
      Chern Institute of Mathematics, Tianjin, China
    • Year and Date
      2008-12-22
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Presentation] Deformation of real rational dynamics in tropical geometry2008

    • Author(s)
      T. Kato
    • Organizer
      Seminars on geometric group theory
    • Place of Presentation
      Universite Paris 7, France
    • Year and Date
      2008-09-29
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Growth of Casson handles and Yang Mills gauge theory2008

    • Author(s)
      加藤毅
    • Organizer
      The 4-th Geometry conference for the Friendship of China and Japan, Chern Institute of Mathematics
    • Place of Presentation
      Tianjin, China.
    • Year and Date
      2008-12-22
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Presentation] Growth of Casson handles in K3 surface and Yang Mills gauge theory2008

    • Author(s)
      T. Kato
    • Organizer
      Topology seminar at Aurfus University
    • Place of Presentation
      Denmark
    • Year and Date
      2008-09-16
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Yang-Mills gauge theory over Casson handles and its applications2008

    • Author(s)
      T. Kato
    • Organizer
      Four dimensional topology
    • Place of Presentation
      広島大学
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] A dynamical pattern formation, tropical geometry and informative entropy2008

    • Author(s)
      T. Kato
    • Organizer
      Probabilistic Approach to Geometry, The Mathematical Society of Japan, Seasonal Institute
    • Place of Presentation
      京都
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] A dynamical pattern formation, tropical geometry and informative entropy2008

    • Author(s)
      T. Kato
    • Organizer
      Probabilistic Approach to Geometry, The Mathematical Society of Japan, Seasonal Institute, (International conference at Kyoto)
    • Place of Presentation
      Kyoto
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Growth of Casson handles in K3 surface and Yang Mills gauge theory2008

    • Author(s)
      T. Kato
    • Organizer
      Topology seminar
    • Place of Presentation
      Aurfus University, Denmark
    • Year and Date
      2008-09-16
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Growth of Casson handles and Yang-Mills gauge theory2008

    • Author(s)
      T. Kato
    • Organizer
      The 4-th Geometry conference for the Friendship of China and Japan, Chern Institute of Mathematics
    • Place of Presentation
      中国天津(International conference at Tianjin)
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Growth of Casson handles and Yang-Mills gauge theory2008

    • Author(s)
      T. Kato
    • Organizer
      The 4-th Geometry conference for the Friendship of China and Japan
    • Place of Presentation
      Chern Institute of Mathematics 中国天津
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Growth of Casson handles and Yang-Mills gauge theory2008

    • Author(s)
      T. Kato
    • Organizer
      第4回日中幾何学友好シンポジウム
    • Place of Presentation
      Chern Institute of Mathematics, 中国天津
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] A dynamical pattern formation2008

    • Author(s)
      T. Kato
    • Organizer
      国際研究集会
    • Place of Presentation
      京都大学時計台記念ホール
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Deformation of real rational dynamics in tropical geometry2008

    • Author(s)
      T. Kato
    • Organizer
      Seminar on geometric group theory
    • Place of Presentation
      Universite Paris 7, France
    • Year and Date
      2008-09-29
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Deformation of real rational dynamics in tropical geometry2008

    • Author(s)
      T. Kato
    • Organizer
      Seminars on geometric group theory, Universite Paris 7
    • Place of Presentation
      France
    • Year and Date
      2008-09-29
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Fundamental groups and elliptic non linear PDE2007

    • Author(s)
      Tsuyoshi Kato
    • Organizer
      Non commutative geometry
    • Place of Presentation
      チャーン研究所(天津)中国
    • Year and Date
      2007-08-26
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] 非コンパクト多様体上のヤンミルズゲージ理論とキャッソンハンドルへの応用2007

    • Author(s)
      加藤毅
    • Organizer
      研究集会
    • Place of Presentation
      東京大学玉原セミナーハウス
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] 力学系のスケール変換と相互作用グラフ「(数理研短期共同研究)可積分系数理の新潮流」2007

    • Author(s)
      加藤毅
    • Place of Presentation
      数理解析研究所
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] ファミリーの写像から可積分系へ「(春の学校)ランダムから可積分系へスケール変換によるパターン形成」2007

    • Author(s)
      加藤毅
    • Place of Presentation
      東北大学
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Fundamental groups and elliptic non linear PDE2007

    • Author(s)
      T. Kato
    • Organizer
      国際研究集会
    • Place of Presentation
      Chern Institute of Mathematics天津中国
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] A pattern formation in dynamical systems by families of iterated maps2007

    • Author(s)
      加藤毅
    • Organizer
      研究集会
    • Place of Presentation
      北海道大学
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] 力学系としてのパターン形成「研究集会非線形と波動」2006

    • Author(s)
      加藤毅
    • Place of Presentation
      九州大学応用力学研究所
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] Symplectic capacity on infinite dimensional spaces2006

    • Author(s)
      T. Kato
    • Organizer
      国際研究集会
    • Place of Presentation
      京都国際交流会館
    • Data Source
      KAKENHI-PROJECT-18540079
  • [Presentation] From Tate curves to Zariski-Riemann spaces ―- A guide to birational approach to rigid geometry (4回)

    • Author(s)
      F. Kato
    • Organizer
      Higher Invariants
    • Place of Presentation
      Regensburg University (ドイツ)数学教室M103教室
    • Year and Date
      2014-08-28 – 2014-09-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Spectral coincidence of transition operators, automata groups and BBS in tropical geometry

    • Author(s)
      T. Kato
    • Organizer
      Special week on operator algebras
    • Place of Presentation
      East China Normal University
    • Year and Date
      2014-08-02 – 2014-08-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Hamiltonian deformation of groups acting on trees

    • Author(s)
      T. Kato
    • Organizer
      China-Japan conference on non-commutative geometry
    • Place of Presentation
      Chungchun, China
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Hamiltonian deformation of groups acting on trees

    • Author(s)
      T. Kato
    • Organizer
      The 11-th annual spring institute on non-commutative geometry and operator algebras
    • Place of Presentation
      Nashville, USA
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Spectral coincidence of transition operators, Automata groups and BBS in tropical geometry

    • Author(s)
      T. Kato
    • Organizer
      HekksaGon summer school
    • Place of Presentation
      Goettingen
    • Year and Date
      2014-09-11 – 2014-09-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287009
  • [Presentation] Spectral coincidence of transition operators, automata groups and BBS in tropical geometry

    • Author(s)
      T. Kato
    • Organizer
      HeKKsaGon summer school
    • Place of Presentation
      Goettingen
    • Year and Date
      2014-09-11 – 2014-09-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Non linear analysis over infinite dimensional spaces and its application

    • Author(s)
      T. Kato
    • Organizer
      Colloquium talk
    • Place of Presentation
      La Sapienza, Italy
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Spectral coincidence of transition operators, Automata groups and BBS in tropical geometry

    • Author(s)
      T. Kato
    • Organizer
      Special week on operator algebras
    • Place of Presentation
      上海
    • Year and Date
      2014-08-02 – 2014-08-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287009
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