Sakai Hidetaka 坂井秀隆

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SAKAI Hidetaka 坂井秀隆

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Researcher Number	50323465
Other IDs
Affiliation (Current)	2025: 東京大学, 大学院数理科学研究科, 准教授
Affiliation (based on the past Project Information) *help	2025: 東京大学, 大学院数理科学研究科, 准教授 2016 – 2023: 東京大学, 大学院数理科学研究科, 准教授 2021: 東京大学, 数理(科)学研究科(研究院), 准教授 2012 – 2016: 東京大学, 数理(科)学研究科(研究院), 准教授 2015: 東京大学, 数理科学研究科, 准教授 … More 2013: 東京大学, 大学院数理科学研究科, 准教授 2011: 東京大学, 数理科学研究科, 准教授 2007 – 2011: The University of Tokyo, 大学院・数理科学研究科, 准教授 2005 – 2006: 東京大学, 大学院数理科学研究科, 助教授 2001 – 2005: 東京大学, 大学院・数理科学研究科, 助教授 Less
Review Section/Research Field	Principal Investigator Global analysis / Basic Section 12010:Basic analysis-related / Basic Section 12010:Basic analysis-related / Basic analysis / Global analysis Except Principal Investigator Global analysis / Global analysis / Basic analysis
Keywords	Principal Investigator 差分方程式 / パンルヴェ方程式 / 超幾何函数 / 特殊函数 / 超幾何関数 / 特殊関数 / 超幾何凾数 / 特殊凾数 / モノドロミー保存変形 / フック型方程式 … More / パンルヴェ型方程式 / 4次元 / 相空間 / 特種関数 / バンルヴェ方程式 … More Except Principal Investigator 可積分系 / パンルヴェ方程式 / ガルニエ系 / 超幾何関数 / 非線型可積分系 / ルート系 / 超幾何函数 / τ関数 / 離散系 / 非線形可積分系 / ホロノミック変形 / 箱玉系 / 有限体 / 超離散系 / 対称性 / 超離散化 / 量子パンルベ系 / 量子群 / 量子Grassmann多様体 / q-超幾何関数 / 一般超幾何関数 / Twistor理論 / 一般シュレジンガー方程式 / Grassmann多様体上の超幾何関数 / 一般Schlesinger系 / モノドロミー保存変形 / 準直交多項式 / Radon transform / Twistor theory / 特殊関数 / discrete systems / space of initial conditions / τ-functions / symmetries / bilinear forms / nonlinear integrable systems / Garnier systems / Painleve equations / 双有理正準変換 / 折り畳み変換 / ベックルント変換 / バンルヴェ方程式 / 初期値空間 / 双一次形式 / 多変数超幾何関数 / 国際研究者交流　フランス / 国際研究者交流　アメリカ / 代数解析学 / 解析学 / 不確定特異点 / KZ型方程式 / 超幾何系 / KZ方程式 / 数式処理 / 常微分方程式 / 微分方程式 / モノドロミ非保存変形 / モノドロミ / 代数函数 / q-パンルヴェ方程式 / カルタン幾何 / 漸近解析 / ソリトン / トロピカル / 特異値閉じ込め / トロピカル曲線 / セルオートマトン / フレドホルム行列式 / 核関数 / リーマン・ヒルベルト対応 / 点の配置空間 / 双線形化 / 楕円関数 / 射影簡約 / ランダム行列 / 離散微分幾何 / 複素力学系 / 行列式点過程 / 可解カオス系 / 離散可積分系 / パンルヴェ系 / q-差分系 / 関数論 / 関数方程式論 / 9-差分系 / 差分系 / ソリトン方程式 Less

パンルヴェ方程式を中心とした可積分系の研究Principal Investigator
- Principal Investigator
  
  坂井秀隆
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  The University of Tokyo
パンルヴェ方程式を中心とした可積分系の研究Principal Investigator
- Principal Investigator
  
  坂井秀隆
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  The University of Tokyo
高次元離散可積分系とその幾何学の探求Principal Investigator
- Principal Investigator
  
  坂井秀隆
- Project Period (FY)
  2021 – 2022
- Research Category
  
  Grant-in-Aid for JSPS Fellows
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  The University of Tokyo
Research of integrable systems around the Painleve equationsPrincipal Investigator
- Principal Investigator
  
  Sakai Hidetaka
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  The University of Tokyo
Research of integrable systems around the Painleve equationsPrincipal Investigator
- Principal Investigator
  
  SAKAI Hidetaka
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Study of differntial equations with actions of groups and its applications
- Principal Investigator
  
  Oshima Toshio
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Josai University
Studies on integrable systems aroud the Painleve systemsPrincipal Investigator
- Principal Investigator
  
  SAKAI HIDETAKA
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
Study of general hypergeometric functions and integrable systems coming from monodromy preserving deformation
- Principal Investigator
  
  KIMURA Hironobu
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Kumamoto University
Study on the integrable structure of ultradiscrete systems
- Principal Investigator
  
  TOKIHIRO Tetsuji
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
Asymptotic analysis on the Painleve equations and monodromy problems
- Principal Investigator
  
  OHYAMA Yousuke
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
Study on integrable systems around the Painleve systemsPrincipal Investigator
- Principal Investigator
  
  SAKAI Hidetaka
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
Theory of Painleve systems and its new development
- Principal Investigator
  
  KAJIWARA Kenji
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyushu University
Holonomic deformation and nonlinear integrable systems
- Principal Investigator
  
  OKAMOTO Kazuo
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
パンルヴェ系を中心とした可積分系の研究Principal Investigator
- Principal Investigator
  
  坂井秀隆
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
パンルヴェ系を中心とした可積分系の研究Principal Investigator
- Principal Investigator
  
  坂井秀隆
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
超離散パンルヴェ系の研究
- Principal Investigator
  
  時弘哲治
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
Mathematical Studies on the Painleve equations
- Principal Investigator
  
  OKAMOTO Kazuo
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  the University of Tokyo
パンルヴェ系を中心とした可積分系の研究Principal Investigator
- Principal Investigator
  
  坂井秀隆
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
非線形可積分系の理論
- Principal Investigator
  
  OKAMOTO Kazuo
- Project Period (FY)
  2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo

[Book] 4-dimensional Painleve-type equations2018
- Author(s)
  Hiroe, Kazuki and Kawakami, Hiroshi and Nakamura, Akane and Sakai, Hidetaka
- Total Pages
  185
- Publisher
  Mathematical Society of Japan, Tokyo
- ISBN
  9784864970877
- Data Source
  KAKENHI-PROJECT-18K03323
[Journal Article] Spectral types of linear q-difference equations and q-analog of middle convolution2017
- Author(s)
  H. Sakai and M. Yamaguchi
- Journal Title
  
  Int. Math. Res. Not.
  
  Volume: 7 Pages: 1975-2013
- DOI
  10.1093/imrn/rnw089
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04894
[Journal Article] CFT approach to the q-Painleve VI equation2017
- Author(s)
  M. Jimbo, H. Nagoya, and H. Sakai
- Journal Title
  
  J. Integrable Syst.
  
  Volume: 2 Issue: 1
- DOI
  10.1093/integr/xyx009
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04894, KAKENHI-PROJECT-16K05183, KAKENHI-PROJECT-17H06127
[Journal Article] Toward a classication of four dimensional Painleve-type equations2013
- Author(s)
  H. Kawakami, A. Nakamura, and H. Sakai
- Journal Title
  
  AMS Comtemporary Mathematics, Algebraic and Geometric Aspects of Integrable Systems and Random Matrices
  
  Volume: 593
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540205
[Journal Article] Ordinary Differential Equations on Rational Elliptic Surfaces2013
- Author(s)
  H. Sakai
- Journal Title
  
  Symmetries, Integrable Systems and Representations: Springer Proceedings in Mathematics & Statistics
  
  Volume: 40 Pages: 515-541
- DOI
  10.1007/978-1-4471-4863-0_22
- ISBN
  9781447148623, 9781447148630
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540205
[Journal Article] モノドロミー保存変形と4次元パンルヴェ型方程式2009
- Author(s)
  坂井秀隆
- Journal Title
  
  京都大学数理解析研究所講究録 1662巻
  
  Pages: 65-72
- Data Source
  KAKENHI-PROJECT-19340039
[Journal Article] Problem : discrete Painleve equations and their Lax forms2007
- Author(s)
  H. Sakai
- Journal Title
  
  RIMS KokyAroku Bessatsu B2
  
  Pages: 195-208
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204012
[Journal Article] Problem: Discrete Painleve equations and their Lax forms2007
- Author(s)
  H. Sakai
- Journal Title
  
  RIMS Kokyuroku Bessatsu B2
  
  Pages: 195-208
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740087
[Journal Article] Studies on the Painleve equations V, third Painleve equations of the type P_III(D_7) and P_ III(D_8)2006
- Author(s)
  Y. Ohyama, H. Kawamuko, H. Sakai and K. Okamoto
- Journal Title
  
  J. Math. Sci. Univ. Tokyo 13
  
  Pages: 145-204
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204012
[Journal Article] Lax form of the q-Painleve equation associated with the A^<(1)>_2 surface2006
- Author(s)
  SAKAI Hidetaka (単著)
- Journal Title
  
  J. Phys. A 39
  
  Pages: 12203-12210
- Data Source
  KAKENHI-PROJECT-18204012
[Journal Article] Studies on the Painleve equations V, third Painleve equations of the type P_III (D_7) and P_III (D-8)2006
- Author(s)
  Y. Ohyama, H. Kawamuko, H. Sakai, K. Okamoto
- Journal Title
  
  J.Math.Sci.Univ.Tokyo 13
  
  Pages: 145-204
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204012
[Journal Article] Studies on the Painleve equations, V, Third Painleve equations of special type P_<111>(D_7) and P_<111>(D_8)2006
- Author(s)
  Y.Ohyama., H.Kawamuko, H.Sakai, K.Okamoto
- Journal Title
  
  J.Math.Sci.Univ.Tokyo 13
  
  Pages: 145-204
- Data Source
  KAKENHI-PROJECT-18740087
[Journal Article] Lax form of the q- Painleve equation associated with the A^(1)_2 surface2006
- Author(s)
  H. Sakai
- Journal Title
  
  J.Phys. A39
  
  Pages: 12203-12210
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204012
[Journal Article] Studies on of the Painleve equations, V2006
- Author(s)
  Y.OHYAMA, H.KAWAMUKO, Hidetaka SAKAI, Kazuo OKAMOTO
- Journal Title
  
  J.Math.Sci.Univ.Tokyo 13
  
  Pages: 145-204
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14204012
[Journal Article] Studies on of the Painleve equations, V2006
- Author(s)
  Y.OHYAMA, H.KAWAMUKO, H.SAKAI, K.OKAMOTO
- Journal Title
  
  J.Math.Sci.Univ.Tokyo 13
  
  Pages: 145-204
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-14204012
[Journal Article] Lax form of the q-Painleve equation associated with the A^(1)_2 surface2006
- Author(s)
  H.Sakai
- Journal Title
  
  J.Phys.A : Math.Gen. 39
  
  Pages: 12203-12210
- Data Source
  KAKENHI-PROJECT-18740087
[Journal Article] Folding transformations of the Painleve equations2005
- Author(s)
  T.TSUDA, Hidetaka SAKAI, Kazuo OKAMOTO
- Journal Title
  
  Math.Ann. 331
  
  Pages: 713-738
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14204012
[Journal Article] Folding transformations of the Painleve equations2005
- Author(s)
  T.Tsuda, K.Okamoto, H.Sakai
- Journal Title
  
  Mathematische Annalen 331
  
  Pages: 713-738
- Data Source
  KAKENHI-PROJECT-15740099
[Journal Article] A q-analog of the Garner system2005
- Author(s)
  Hidetaka SAKAI
- Journal Title
  
  Funkcial.Ekvac. 48
  
  Pages: 273-297
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14204012
[Journal Article] Folding transformations of the Painleve equations2005
- Author(s)
  T.TSUDA, H.SAKAI, K.OKAMOTO
- Journal Title
  
  Math.Ann. 331
  
  Pages: 713-738
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-14204012
[Journal Article] Hypergeometric solution of q-Schlesinger system of rank two2005
- Author(s)
  SAKAI Hidetaka (単著)
- Journal Title
  
  Lett.Math.Phys. 73
  
  Pages: 237-247
- Data Source
  KAKENHI-PROJECT-14204012
[Journal Article] Hypergeometric solution of q-Schlesinger system of rank two2005
- Author(s)
  H.Sakai
- Journal Title
  
  Letters in Mathematical Physics 73
  
  Pages: 237-247
- Data Source
  KAKENHI-PROJECT-15740099
[Journal Article] Hypergeometric solution of q-Schlesinger systems of rank two2005
- Author(s)
  Hidetaka SAKAI
- Journal Title
  
  Lett.Math, Phys. 73
  
  Pages: 237-247
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14204012
[Journal Article] A q-analog of the Garnier system2005
- Author(s)
  H.Sakai
- Journal Title
  
  Funkcialaj Ekvacioj 48
  
  Pages: 273-297
- NAID
  130000141289
- Data Source
  KAKENHI-PROJECT-15740099
[Journal Article] A q-analog of the Garnier system
- Author(s)
  Hidetaka Sakai
- Journal Title
  
  Funkcilaj Ekvacioj (To Appear)
- NAID
  130000141289
- Data Source
  KAKENHI-PROJECT-15740099
[Journal Article] Folding transformations of the Painleve equations
- Author(s)
  Teruhira Tsuda, Kazuo Okamoto, Hidetaka Sakai
- Journal Title
  
  Mathematische Annalen (To Appear)
- Data Source
  KAKENHI-PROJECT-15740099
[Presentation] On the bilinear equations of the Painleve transcendents (Joint work with T. Hosoi)2023
- Author(s)
  Hidetaka Sakai
- Organizer
  ICIAM
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03348
[Presentation] The differential equations of type (H) with 3 singular points (Joint work with T. Hosoi)2022
- Author(s)
  坂井秀隆
- Organizer
  アクセサリーパラメーター研究会
- Data Source
  KAKENHI-PROJECT-18K03323
[Presentation] Painleve 超越函数と共形場理論2020
- Author(s)
  坂井秀隆
- Organizer
  2020年度表現論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-18K03323
[Presentation] Painleve 方程式の世界2020
- Author(s)
  坂井秀隆
- Organizer
  日本数学会，秋季総合分科会，函数方程式論分科会特別公演
- Invited
- Data Source
  KAKENHI-PROJECT-18K03323
[Presentation] Discrete Hamiltonians of discrete Painlev\'e equations (Joint work with T. Mase and A. Nakamura)2019
- Author(s)
  Sakai, Hidetaka
- Organizer
  Integral Systems Workshop 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03323
[Presentation] CFT approach to the q-Painleve equations (joint work with M. Jimbo and H. Nagoya)2018
- Author(s)
  Sakai, Hidetaka
- Organizer
  Asymptotic, Algebraic and Geometric Aspects of Integral Systems (TSIMF, Sanya, China)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04894
[Presentation] CFT approach to the q-Painleve equations (joint work with M. Jimbo and H. Nagoya)2018
- Author(s)
  Sakai, Hidetaka
- Organizer
  可積分系理論から見える数理構造とその応用
- Invited
- Data Source
  KAKENHI-PROJECT-18K03323
[Presentation] CFT approach to the q-Painleve equations (joint work with M. Jimbo and H. Nagoya)2018
- Author(s)
  Sakai, Hidetaka
- Organizer
  Asymptotic, Algebraic and Geometric Aspects of Integral Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03323
[Presentation] A rigid, irreducible Fuchsian linear q-equation can be reduced to a 1st order equation by integral transformation2017
- Author(s)
  Sakai, Hidetaka
- Organizer
  25th International Conference on Integrable Systems and Quantum Symmetries (Czech Technical University, Prague, Czech)
- Data Source
  KAKENHI-PROJECT-15K04894
[Presentation] A rigid, irreducible Fuchsian linear q-difference equation can be reduced to a 1st order equation by integral transformations2017
- Author(s)
  SAKAI Hidetaka
- Organizer
  複素領域における関数方程式とその周辺
- Place of Presentation
  広島大学，東広島市
- Year and Date
  2017-03-07
- Invited
- Data Source
  KAKENHI-PROJECT-15K04894
[Presentation] Ordinary differential equations on rational elliptic surfaces2017
- Author(s)
  Sakai, Hidetaka
- Organizer
  Integrable systems, symmetries, and orthogonal polynomials (ICMAT，Madrid, Spain)
- Invited
- Data Source
  KAKENHI-PROJECT-15K04894
[Presentation] A rigid, irreducible Fuchsian linear q-difference equation can be reduced to a 1st order equation by integral transformations2016
- Author(s)
  SAKAI Hidetaka
- Organizer
  Painleve Equations and Discrete Dynamics
- Place of Presentation
  BIRS, Banff, Canada
- Year and Date
  2016-10-04
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04894
[Presentation] Discrete Painleve Equations2016
- Author(s)
  SAKAI Hidetaka
- Organizer
  Joint Mathematics Meetings AMS
- Place of Presentation
  Washington State Convention Center, Seattle, USA
- Year and Date
  2016-01-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04894
[Presentation] Studies on the Painleve equations2015
- Author(s)
  坂井秀隆
- Organizer
  日本数学会・特別講演（無限可積分系）
- Place of Presentation
  明治大学駿河台キャンパス
- Year and Date
  2015-03-24
- Invited
- Data Source
  KAKENHI-PROJECT-24540205
[Presentation] Discrete Painleve Equations2015
- Author(s)
  SAKAI Hidetaka
- Organizer
  Differential and Difference Equations
- Place of Presentation
  Laboratoire Paule Painleve, Lille, France
- Year and Date
  2015-10-21
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04894
[Presentation] Degeneration scheme of 4-dimensional Painlev￥'e type equations (Joint work with H.Kawakami and A.Nakamura)2012
- Author(s)
  坂井秀隆
- Organizer
  Joint Mathematics Meetings, AMS Special Session
- Place of Presentation
  Hynes Convention Center, Boston, USA(招待講演)
- Year and Date
  2012-01-06
- Data Source
  KAKENHI-PROJECT-20740089
[Presentation] Degeneration scheme of 4-dimensional Painleve type equations(Joint work with H. Kawakami and A. Nakamura)2012
- Author(s)
  坂井秀隆
- Organizer
  Joint Mathematics Meetings, AMS Special Session
- Place of Presentation
  Hynes Convention Center, Boston, USA
- Year and Date
  2012-01-06
- Data Source
  KAKENHI-PROJECT-20740089
[Presentation] Ordinary differential equations on rational elliptic Surfaces2011
- Author(s)
  坂井秀隆
- Organizer
  Symmetries, Integrable Systems, and Representations
- Place of Presentation
  University Lyon 1, Lyon, France(招待講演)
- Year and Date
  2011-12-14
- Data Source
  KAKENHI-PROJECT-20740089
[Presentation] Frontier of isomonodromic deformation theory, Infinite Analysis 112011
- Author(s)
  坂井秀隆
- Organizer
  Frontier of Integrability
- Place of Presentation
  東京大学
- Year and Date
  2011-07-25
- Data Source
  KAKENHI-PROJECT-20740089
[Presentation] Ordinary differential equations on rational elliptic surfaces, Symmetries2011
- Author(s)
  坂井秀隆
- Organizer
  Integrable Systems, and Representations
- Place of Presentation
  University Lyon 1, Lyon, France
- Year and Date
  2011-12-14
- Data Source
  KAKENHI-PROJECT-20740089
[Presentation] Frontier of isomonodromic deformation theory2011
- Author(s)
  坂井秀隆
- Organizer
  Infinite Analysis 11, Frontier of Integrability
- Place of Presentation
  東京大学(招待講演)
- Year and Date
  2011-07-25
- Data Source
  KAKENHI-PROJECT-20740089
[Presentation] 4次元パンルヴェ型方程式の退化図式2010
- Author(s)
  坂井秀隆
- Organizer
  可積分系数理の多様性
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-08-19
- Data Source
  KAKENHI-PROJECT-20740089
[Presentation] モノドロミー保存変形と4次元パンルヴェ型方程式2010
- Author(s)
  坂井秀隆
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-22
- Data Source
  KAKENHI-PROJECT-20740089
[Presentation] 4次元パンルヴェ型方程式の退化図式,可積分系数理の多様性2010
- Author(s)
  坂井秀隆
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-08-19
- Data Source
  KAKENHI-PROJECT-20740089
[Presentation] モノドロミー保存変形と4次元パンルヴェ型方程式2009
- Author(s)
  坂井秀隆
- Organizer
  微分方程式のモノドロミーをめぐる諸問題
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-20740089
[Presentation] モノドロミー保存変形と4次元パンルヴェ型方程式,微分方程式のモノドロミーをめぐる諸問題2009
- Author(s)
  坂井秀隆
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-02-04
- Data Source
  KAKENHI-PROJECT-20740089
[Presentation] Monodromy preserving deformation and 4-dimennsional Painlv\'e type equations2008
- Author(s)
  坂井秀隆
- Organizer
  From Painlev \'e to Okamoto
- Place of Presentation
  東京大学
- Year and Date
  2008-06-10
- Data Source
  KAKENHI-PROJECT-20740089
[Presentation] Monodromy preserving deformation and 4-dimensional Painleve type equations2008
- Author(s)
  坂井秀隆
- Organizer
  From Painleve to Okaamoto
- Place of Presentation
  東京大学
- Year and Date
  2008-06-10
- Data Source
  KAKENHI-PROJECT-20740089
[Presentation] Monodromy preserving deformation and 4-dimensional Painleve type equations2008
- Author(s)
  坂井秀隆
- Organizer
  From Painleve to Okamoto
- Place of Presentation
  東京大学
- Year and Date
  2008-06-10
- Data Source
  KAKENHI-PROJECT-20740089
[Presentation] Monodromy preserving deformation and 4-dimensional Painleve type equations
- Author(s)
  H. Sakai
- Organizer
  Workshop on In- tegrable Systems
- Place of Presentation
  University of Sydney
- Invited
- Data Source
  KAKENHI-PROJECT-24540205
[Presentation] Toward a classification of four-dimensional Painleve-type equations (Joint work with H. Kawakami and A. Nakamura)
- Author(s)
  坂井秀隆
- Organizer
  Various Aspects on the Painlevé Equations
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540205
[Presentation] Studies on the Painleve equations
- Author(s)
  H. Sakai
- Organizer
  微分方程式の総合的研究
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540205

1. OKAMOTO Kazuo (40011720)

# of Collaborated Projects: 4 results

# of Collaborated Products: 6 results
2. NOUMI Masatoshi (80164672)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. TOKIHIRO Tetsuji (10163966)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. HARAOKA Yoshishige (30208665)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. KATSURA Toshiyuki (40108444)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. SATSUMA Junkichi (70093242)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. OHYAMA Yousuke (10221839)

# of Collaborated Projects: 2 results

# of Collaborated Products: 2 results
8. IWASAKI Katsunori (00176538)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. YAMADA Yasuhiko (00202383)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. KIMURA Hironobu (40161575)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. MANO Toshiyuki (60378594)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. KANIE Yukihiro (10093121)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. KAJIWARA Kenji (40268115)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. SHIRAI Tomoyuki (70302932)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. MASUDA Tetsu (00335457)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. TSUDA Teruhisa (00452730)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. UIROKKUSU Rarufu (20361610)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. IZUMI Makoto (50263497)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. TAKENAWA Tomoyuki (70361805)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. INOUE Rei (30431901)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. TAKEMURA Koichi (10326069)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. KOIKE Tatsuya (80324599)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. KAWAMUKO Hiroyuki (00303719)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. KIKUCHI Tetsuya (00374900)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. Oshima Toshio (50011721)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. KOBAYASHI Toshiyuki (80201490)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. JIMBO Michio (80109082)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 河野俊丈 (80144111)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. HIROE Kazuki

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. NAKAMURA Akane

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. SEKIGUCHI Jiro

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. MIMACHI Katsuhisa

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. SASAKI Ryu

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. NAGOYA Hajime

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. GUBBIOTTI GIORGIO

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Sakai Hidetaka 坂井 秀隆

SAKAI Hidetaka 坂井 秀隆

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パンルヴェ方程式を中心とした可積分系の研究Principal Investigator

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パンルヴェ方程式を中心とした可積分系の研究Principal Investigator

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高次元離散可積分系とその幾何学の探求Principal Investigator

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Research of integrable systems around the Painleve equationsPrincipal Investigator

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Research of integrable systems around the Painleve equationsPrincipal Investigator

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Studies on integrable systems aroud the Painleve systemsPrincipal Investigator

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Study on integrable systems around the Painleve systemsPrincipal Investigator

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パンルヴェ系を中心とした可積分系の研究Principal Investigator

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Sakai Hidetaka 坂井秀隆

SAKAI Hidetaka 坂井秀隆