Kato Tsuyoshi 加藤毅

… Alternative Names

Researcher Number	20273427
Other IDs
Affiliation (Current)	2019: 京都大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help	2015 – 2019: 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
Review Section/Research Field	Principal Investigator Geometry / Geometry / Algebra, Geometry, and related fields Except Principal Investigator Geometry / Geometry / Algebra / Global analysis / Basic analysis / Science and Engineering / Basic Section 12010:Basic analysis-related
Keywords	Principal Investigator ゲージ理論 / キャパシティー / 非可換幾何学 / シンプレクティック多様体 / 無限次元多様体 / モジュライ空間 / 無限群 / トロピカル幾何学 / 符号数 / Lジーナス … More Except Principal Investigator 幾何学 / フレアーホモロジー / モジュライ空間 / シンプレクティック幾何学 / ミラー対称性 / ラグランジュ部分多様体 / トポロジー / 3次元多様体 / 4次元多様体 / Seiberg-Witten理論 / ゲージ理論 / 非可換幾何学 / エータ不変量 / 位相幾何学 / 離散可積分系 / Heegaard Floerホモロジー / ザイフェルト多様体 / シンプレクティック多様体 / 擬正則曲線 / ハミルトン力学系 / 解析学 / 位相的場の理論 / 指数定理 / K理論 / 葉層構造 / 巡回コホモロジー / Godbillon-Vey不変量 / ホモロジー3球面 / Floerホモロジー / 古典直交多項式 / 直交多項式 / 低次元トポロジー / ４次元多様体 / ３次元多様体 / ホモトピー代数 / Floer homology / Mirror symmetry / 箱玉系 / シンプレクティク幾何 / トーリック多様体 / 量子コホモロジー / ミラ-対称性 / フレア-ホモロジ- / カラビヤウ多様体 / 特異点理論 / ホモロジー代数 / 超弦理論 / 数理物理 / 素粒子論 / 弦理論 / 代数科学 / 共形場理論 / モジュラー函手 / タイヒミュラー / GNS構成法 / ゲージ対称性 / 分岐被覆 / 剛幾何学 / モジュライ空 / 無限可積分系 / 代数多様体の退化 / 重複ファイバー / トロピカル幾何学 / 変形パラメータ / 導来圏 / 接続 / 代数曲線 / 退化 / ユニタリ性 / 写像類群 / 射影的平坦接続 / Hitchin接続 / p進剛幾何学 / ペンローズ変換 / 位相幾何 / 国際研究者交流 / イタリア:中国:アメリカ / 接触構造 / 佐々木多様体 / 微分トポロジー / 不変量 / フレアホモロジー / 球面多様体 / 鉛管多様体 / Seiber-Witten理論 / 有理ホモロジー3球面 / 葉層多様体 / Godbillon-Vey類 / 非可換幾何 / 可積分系 / 超離散可積分系 / 双直交関数系 / 一般化固有値問題 / 国際情報交換 / アルゴリズム / 応用数学 / 数理工学 / 量子力学 / 微分幾何学 / 複素幾何学 / 代数幾何学 / 仮想ホモロジー類 / 深谷圏 / 代数学 / 非線形微分方程式 / ホモロジーコボルディズム / シンプレクティック幾何 / 概正則曲線 / 倉西写像 / 対応 / ハミルトン系 / 軌道体 / テータ関数 / アーベル多様体 / 非可換トーラス / フレア-ホモロジー / 鏡映対称性 / A無限大カテゴリー / ヤンミルズ方程式 / テ-タ関数 / マスロフ指数 / Symplectic Geometry / Homotopical Algebra / moduli space / pseudoholomorphic curve / Kuranishi map / Lagrangian submanifold / A無限大構造 / ループ空間 / シンプレクティック微分同相群 / 曲率と基本群 / open string / Dブレイン / A無限大代数 / 超ポテンシャル / Rigid幾何学 / A無限代数 / モース理論 / symplectic topology / Lagrangian sublmanifolds / A infinity algebra / quasi-regular curve / Topological field theory / Hamiltonian dynamical system / キャッソンハンドル / 双曲構造 / 3-manifold / 4-manifold / Seiberg-Witten theory / Heegaard Floer homology / homology 3-sphere / 力学系・可積分系 / 特殊関数 / 例外型直交多項式 / オートマトン / 国際研究者交流　ウクライナ / 確率論 / Pitman変換 Less

Pitman変換に基づく確率論による離散可積分系の解析Ongoing
- 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
指数定理の展開とトポロジカル表面状態Ongoing
- Principal Investigator
  
  古田幹雄
- 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 InvestigatorOngoing
- Principal Investigator
  
  加藤毅
- Project Period (FY)
  2017 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Pentagram map in tropical geometry and its application to discrete Morse theoryPrincipal InvestigatorOngoing
- Principal Investigator
  
  加藤毅
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Challenging Research (Exploratory)
- Research Field
  
  Algebra, Geometry, and related fields
- Research Institution
  Kyoto University
3,4次元多様体の種々の不変量とその応用Ongoing
- Principal Investigator
  
  上正明
- Project Period (FY)
  2016 – 2018
- 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

[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] 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] 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 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-Yau inequality and rational points on curves2015
- Author(s)
  Gunther Cornelissen, Fumiharu Kato, Janne Kool
- Journal Title
  
  Math. Ann.
  
  Volume: 361 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
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23224002
[Journal Article] Automata in groups and dynamics and induced systems of PDE in tropical geometry2014
- Author(s)
  T. Kato
- Journal Title
  
  Journal of Geometric Analysis
  
  Volume: 4 Pages: 1-87
- DOI
  10.1007/s12220-012-9360-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540080, 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
- 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] Densest lattices in PGL3Q22013
- 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] A rough analytic relation on partial differential equations2012
- Author(s)
  T.Kato and S.Tsujimoto (T.Kato)
- Journal Title
  
  Journal of Mathematics Research
  
  Volume: 4-4 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
- 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
- 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
- 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)
- 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] Twisted Donaldson invariant2018
- Author(s)
  Tsuyoshi Kato
- Organizer
  Topology/Geometry lectures at Seoul National Univ
- Invited
- 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] Twisted Donaldson invariant2018
- Author(s)
  加藤毅
- Organizer
  Gauge Theory in Fukuoka
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PLANNED-17H06461
[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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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 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] 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
  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

1. UE Masaaki (80134443)

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36. MIYAZAKI Takuya (10301409)

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37. TOSE Nobuyuki (00183492)

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38. WATAMUAR Satoshi (00201252)

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39. KATSURA Takeshi (50513298)

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40. Ohnita Yoshihiro (90183764)

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41. Konishi Yukiko (30505649)

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42. Iritani Hiroshi (20448400)

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43. Kuribayashi Katsuhiko (40249751)

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44. Ono Kaoru (70467033)

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45. Fujiwara Koji (60229078)

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46. Akaho Manabu (30332935)

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47. Oguni Shin-ichi (00549446)

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48. Fukaya Tomohiro (40583456)

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49. Tsukamoto Masaki (70527879)

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50. Matsuo Shinichiroh (40599487)

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51. MOCHIZUKI Takuro (10315971)

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52. YAMAGUCHI Takao (00182444)

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53. NISHIWADA Kimimasa (60093291)

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54. 望月新一 (10243106)

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55. 三輪哲二 (10027386)

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56. 井上義也 (10232571)

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57. 吉川謙一 (20242810)

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58. 高村茂 (20362436)

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59. 丸山正樹 (50025459)

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60. 砂田利一 (20022741)

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61. 岸本大祐 (60402765)

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62. 佐々田槙子 (00609042)

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63. Croydon David (50824182)

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64. 辻本論

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65. 加藤満生

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Kato Tsuyoshi 加藤 毅

KATO Tsuyoshi 加藤 毅

加藤 毅 カトウ ツヨシ

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Pitman変換に基づく確率論による離散可積分系の解析Ongoing

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指数定理の展開とトポロジカル表面状態Ongoing

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Construction of the covering monopole map and its applicationsPrincipal InvestigatorOngoing

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Pentagram map in tropical geometry and its application to discrete Morse theoryPrincipal InvestigatorOngoing

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3,4次元多様体の種々の不変量とその応用Ongoing

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Moduli theory of non linear elliptic operators over non compact manifoldsPrincipal Investigator

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Gauge theory with infinite group actionsPrincipal Investigator

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Kato Tsuyoshi 加藤毅

KATO Tsuyoshi 加藤毅

加藤毅カトウツヨシ