TAKASAKI Kanehisa 高崎金久

Researcher Number	40171433
Other IDs
External Links
Affiliation *help	2013 – 2018 : 近畿大学, 理工学部, 教授 2012 – 2013 : 京都大学, 人間・環境学研究科(研究院), 教授 2013 : 京都大学, 人間環境学研究科, 教授 2011 – 2012 : 京都大学, 大学院・人間環境学研究科, 教授 2010 – 2011 : 京都大学, 人間・環境学研究科, 教授 … More
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis / 解析学 / Basic Section 12010:Basic analysis-related Except Principal Investigator 解析学 / Basic analysis / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics) / Algebra / Particle/Nuclear/Cosmic ray/Astro physics … More
Keywords	Principal Investigator 可積分系 / 可積分階層 / 共形場理論 / 戸田階層 / スペクトル曲線 / 溶解結晶模型 / モジュライ空間 / integrable system / 量子トーラス代数 / 等モノドロミー変形 … More Except Principal Investigator 量子群 / 可積分系 / 複素力学系 / 超対称ゲージ理論 / ワイル群 / 結晶基底 / R行列 / ランダム平面分割 / 非調和振動子 / 無限次元グラスマン多様体 / パンルヴェ方程式 / 超幾何直交多項式 / 可解格子模型 / 準楕円性 / 量子トーラス / 可解模型 / 離散量子力学 / 特殊関数 / 戸田方程式 / Dー加群 / マスタ-対称性 / 量子重力 / モジュライ空間 / 表現論 / 代数解析学 / ミラー対称性 / リー代数 / XY模型 / ジュリア集合 / 超弦理論 / 混合ホッジ加群 / 超局所解析 / 統計力学 / 数理物理 / ヘッケ環 / Wick calculus / 代数群 / 代数曲線 / 可積分性 / 戸田階層 / 完全可積分系 / 見かけの特異性の合流 / 古典平衡点 / アファインリー環 / 進化ゲーム理論 / 位相的場の理論 / 楕円型方程式 / 共形場理論 / 双極性 / birational representation / 双曲型方程式 / 鞍部点法 / 多成分KP階層 / 位相的弦理論 / Modular functor / 多添え字直交多項式 / アフィンリー環 / quantum inerrability / 自己双対アインシュタイン方程式 / ultra-discretization / 対数型ソボレフ不等式 / ファジーな場 / 特殊関係 / 離散パンルベ方程式 / 超多様体 / 量子対称性 / Borel Transform / 同変ディラック指数 / space of initial value / ボロス係数 / 普遍的ウィタム階層 / Wick作用素 / 強一意性定理 / p進微分方程式 / 非線形可積分系 / 超リ-環 / 曲線の退化 / Artin-Mazur形式群 / q-直交多項式 / Eichler Integral / Schodinger方程式 / Schrodinger方程式 / Irrationality / schodinger方程式 / infinite dimensional Grassmannian manifold / key wards / インスタントン / hypaellipticity / integrable models / Eichler積分 / 高次の極 / 多添え字ジャコビ多項式 / microlocal analysis / 無限階微分方程式系 / 軌道分解 / 情報空間 / 球等質空間 / 無限可積分系 / R matrix / rule 90 / パデ近似 / 数論幾何学 / モジュライ函手 / Spherical function / 保型形式 / 超戸田格子階層 / ルーと系とWeyl群 / KZ方程式 / Rigid geometry / 箱玉系 / Micro-Local Analysis / 量子リーマン曲線 / 剛幾何学 / 例外直交多項式 / Ruijsenaars-Schneider模型 / 共形場の理論 / 多添え字ウィルソン多項式 / Julia set / 対数型Sobolev不等式 / 離散ソリトン / WKB展開 / ホッジ理論 / Special functions / トポロジカルバーテックス / Pade approximation / 退化Monge-Ampere方程式 / Complex dynamical system / 量子ト－ラス / semiliner Dirichlet problem / Conformal field theory / 同変ホモトピー論 / 双有理表現 / Arithmetic geometry / Moduli space / 政論幾何学 / 幾何学的クリスタル / 消滅定理 / Algebraic group / q-超幾何系 / 対数型 / 正準作用素形式 / ウィナ-空間 / 可積分構造 / 格子型模型 / infinitely degenerate / モノドロミ-保存変形 / ヤコビ多様体 / Hodge theory / 対称空間 / ディンキン図形 / Painleve equations / グルサ問題 / Representations / 概均質ベクトル空間 / 共変量子力学 / 最大値原理 / シグマ模型 / 3次元多様体の不変量 / Quantum group / Fefferman-Phong inegality / 場の理論 / 位相的頂点 / 差分スキーム / Spherical homogeneous space / スピン系 / Weyl group / 無理数 / 重複ファイバー / p進解析空間 / Gauss過程 / q-差分方程式 / 代数群の表現 / Symmetric space / Gaussian process / Saddle point method / 初期値空間 / 有理関数 / タウ関数 / Hecke algebras / 有理型変形 / 高次元代数多様体 / Legendre polynomial / Algebraic gruops / 離散可解量子力学 / 位相場の理論 / 離散可解理子力学 / 遠アーベル幾何学 / R-matrix / Kac-Moody algebra / Ruijsenaars-Schneider Systems / Lie algebras / カイラル・ポッツ模型 / WKB Method / quantum gravity / 組合せ論 / 量子多重対数関数 / 格子可解模型 / Lax表示 / 準可解系 / タイヒミュラー空間 / ブレ-ド群 / classical equilibrium point / q類似 / q-KP方程式 / ADSL / Calogero-Moser系 / ハイゼンベルグ解 / ルジャンドル多項式 / AdS / 超離散 / Integrable systems with infinite degrees of freedom / ソリトン / q-振動子 / 定角曲線 / 等モノドロミ-問題 / ゼータ関数 / 軌道 / 有理解 / ダルブー変換 / 生成・消滅演算子 / 無限次退化 / パンルベ方程式 / 楕円的量子群 / カソラティアン / discrete Painleve equation / 相対論的戸田階層 / 量子動 / Backlund transformation / ヤンバクスタ方程式 / 無限次元多様体 / Navier-Stokes流 / Calogero-Moser Systems / Fokker-Planck方程式 / Fefferman-Phong不等式 / モノドロミー保存変形 / 形状不変性 / 量子dilog関数 / 極小モデル理論 / 対称性 / モノドロミー表現 / Chiral Potts model / リー群 / モジュラー函手 / カッツ・ム-ディ-リ-環 / Topological field theory / サドル法 / 有理関数解 / sololev不等式 / 多添え字アスキー・ウィルソン多項式 / ゲージ理論 / カラビ・ヤウ多様体 / 誕生・死滅過程 / ベックルント変換 / 複素コボルディズム論 / 組み合わせ論 / Sobolev inequality of logarithmic type / 熱力学極限 / 複素測度 / 多添え字ラゲール多項式 / 超離散化 / 行列式 / 無限次元リー環 / 孤立特異点 / Painleve equation / 超対称性 / 無限ループ空間 / unnarmonic oscillator / １次元戸田格子 / 半線型楕円型方程式 / XY Model / Riemann zeta function / QCD / フックス群 / Representation theory / q-analogues / 位相的開弦振幅 / トロピカル / Kac-Moodyリー環 / 国際研究者交流 / 相空間 / (双対)閉性関係式 / 半線形Diriclet問題 / 可解量子力学 / 可解系 / hypergeometric orthogonal polynomials / 幾何構造 / intertwining作用素 / 変形KP階層 / 多添え字(q)-ラカー多項式 / アフィンワイル群 / 自己双対ヤン・ミルズ / 量子コホモロジーとミラー対称性 / Special function / Orbit / トロピカル化 / 無限次元代数 / 国際情報交流 / integrable systems / 楕円パンルベ方程式 / 量子diLog関数 / Rigid幾何学 / 量子トーラス代数 / D Module / ｑ-差分方程式 / 境界層方程式 / 重力論 / Solvable lattice model / Constant Angle Curve / Schrodinger equation / ロトカ・ボルテラ方程式 / 非可換場の理論 / 動的対称性代数 / Borel変換 / 有限量子系 / 球関数 / フックス型微分方程式 / ソリトン方程式 / 非可換超空間 / ガウス過程 / 完全可解系 / elliptic quantum groups / 量子可積分性 / 非可換場 / K3曲面 / q差分パンルベ方程式 / Crystal Base Less

Integrable hierarchies related to Gromov-Witten invariantsPrincipal InvestigatorOngoing
- Principal Investigator
  
  高崎金久
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Kinki University
Melting crystal models and quantum torus symmetry
- Principal Investigator
  
  中津了勇
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Setsunan University
Integrable structures in mathematical physics and combinatoricsPrincipal Investigator
- Principal Investigator
  
  高崎金久
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kinki University
  Kyoto University
Integrability and symmetry in melting crystal model
- Principal Investigator
  
  NAKATSU toshio
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Setsunan University
Quantum symmetries and solvability
- Principal Investigator
  
  SASAKI Ryu
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Particle/Nuclear/Cosmic ray/Astro physics
- Research Institution
  Shinshu University
  Kyoto University
Theory of integrable hierarchies and its application to mathematical physicsPrincipal Investigator
- Principal Investigator
  
  TAKASAKI Kanehisa
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
lntegrability and geometry in random plane partitions
- Principal Investigator
  
  NAKATSU Toshio
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Setsunan University
New developments and interaction between Algebraic Geometry and Integrable Systems
- Principal Investigator
  
  SAITO Masa-hiko
- Project Period (FY)
  2007 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Search for new connection of integrable systems and mathematical physicsPrincipal Investigator
- Principal Investigator
  
  TAKASAKI Kanehisa
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Integrable structure in field theory and string theory
- Principal Investigator
  
  SASAKI Ryu
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Particle/Nuclear/Cosmic ray/Astro physics
- Research Institution
  Kyoto University
Geometric structure and integrable systems in mathematical physicsPrincipal Investigator
- Principal Investigator
  
  TAKASAKI Kanehisa
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Geometry of integrable systems with infinite degrees of freedom and new development of moduli theory.
- Principal Investigator
  
  UENO Kenji
- Project Period (FY)
  2002 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Integrable systems with higher genus spectral parameterPrincipal Investigator
- Principal Investigator
  
  TAKASAKI Kanehisa
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  KYOTO UNIVERSITY
Exactly and quasi-Exactly Solvable multi-particle Quantum Systems and Generalized Supersymmetry
- Principal Investigator
  
  SASAKI Ryu
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  素粒子・核・宇宙線
- Research Institution
  Kyoto University
超関数に作用する複素力学系の研究
- Principal Investigator
  
  宇敷重廣
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Kyoto University
the positivity of degenerate elliptic operators and the microlocal analysis on solutions for partial differentiai equations
- Principal Investigator
  
  MORIMOTO Yoshinori
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYOTO UN IVERSITY
Classical and quantum theory of finite-dimensional integrable systemsPrincipal Investigator
- Principal Investigator
  
  TAKASAKI Kanehisa
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Painleve equations and integrable systems
- Principal Investigator
  
  YAMADA Yasuhiko
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Faculty of Science, Kobe Univ.
Representation-theoretic study of spherical functions arising from number theory
- Principal Investigator
  
  KATO Shinichi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
Finite dimensional integrable structure in systems with infinite degree of freedomPrincipal Investigator
- Principal Investigator
  
  TAKASAKI Kanehisa
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  KYOTO UNIVERSITY
Pade type approximation and its application to the number theory
- Principal Investigator
  
  HATA Masayoshi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  KYOTO UNIVERSITY
モジュライ空間に関連する非線形可積分系の研究Principal Investigator
- Principal Investigator
  
  高崎金久
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kyoto University
関数解析学とその周辺
- Principal Investigator
  
  宮本宗実
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
漸近解析的方法による非線形問題の研究Principal Investigator
- Principal Investigator
  
  高崎金久
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
数理物理学の諸問題に現れる非線形可積分系の研究Principal Investigator
- Principal Investigator
  
  高崎金久
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kyoto University
数理科学の諸分野に現れる漸近解析的問題の研究Principal Investigator
- Principal Investigator
  
  高崎金久
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
非線形可積分系の数理
- Principal Investigator
  
  中村佳正
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Doshisha University
数理物理における漸近解析とくりこみ群解析Principal Investigator
- Principal Investigator
  
  高崎金久
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
数理物理と寛用解析における新して可積分系の探求(公募研究)Principal Investigator
- Principal Investigator
  
  高崎金久
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kyoto University
Studies on Group Representations and Related Special Functions
- Principal Investigator
  
  KATO Shin-ichi
- Project Period (FY)
  1992 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  KYOTO UNIVERSITY
無限自由度の解析学の総合的研究
- Principal Investigator
  
  MIWA Tetsuji
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
マスタ-対称性の研究
- Principal Investigator
  
  荒木不二洋
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
Studies of D Module and Integrable System
- Principal Investigator
  
  SATO Mikio
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
Dynkin数学の綜合的研究
- Principal Investigator
  
  ARAKI Huzihiro
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
多様体をめぐる幾何学的諸問題の研究
- Principal Investigator
  
  島田信夫
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University
Yang-Baxter方程式の綜合的研究
- Principal Investigator
  
  荒木不二洋
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
Studies of Algebraic Analysis
- Principal Investigator
  
  KASHIWARA Masaki
- Project Period (FY)
  1988 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
Supersymmetry algebraの総合的研究
- Principal Investigator
  
  荒木不二洋
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University

[Book] Advanced Studies in Pure Mathematics(Integrable structure of melting crystal model with external potentials Proceeding of Workshop“New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry"2008
- Author(s)
  T. Nakatsu, K. Takasaki
- Data Source
  KAKENHI-PROJECT-19540179
[Book] ツイスターの世界2005
- Author(s)
  高崎金久
- Total Pages
  266
- Publisher
  共立出版
- Data Source
  KAKENHI-PROJECT-14102001
[Book] Elliptic Integrable Systems (Rokko Lectures in Mathematics, vol.18)2005
- Author(s)
  M.Noumi, K.Takasaki(編)
- Total Pages
  363
- Publisher
  神戸大学理学部数学教室
- Data Source
  KAKENHI-PROJECT-16340040
[Book] Progress in Mathematics vol.237,分担執筆pp.169--1972005
- Author(s)
  K.Takasaki
- Total Pages
  29
- Publisher
  Birkhauser, Basel/Switzerland
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Book] ツイスターの世界-時空・ツイスター空間・可積分系-2005
- Author(s)
  高崎金久
- Total Pages
  280
- Publisher
  共立出版
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Journal Article] Toda hierarchies and their applications2018
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume : 51 Pages : 203001-203001
- DOI
  10.1088/1751-8121/aabc14
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400111
[Journal Article] q-difference Kac-Schwarz operators in topological string theory2017
- Author(s)
  高崎金久、中津了勇
- Journal Title
  
  SIGMA
  
  Volume : 13 Pages : 009-009
- DOI
  10.3842/sigma.2017.009
- Peer Reviewed / Open Access / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04912, KAKENHI-PROJECT-25400111
[Journal Article] Quantum curve and 4D limit of melting crystal model2017
- Author(s)
  高崎金久
- Journal Title
  
  arXiv:1704.02750 [math-ph]
  
  Volume : ー
- Open Access / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04912
[Journal Article] Closed topological vertexの量子ミラー曲線とq-差分型Kac-Schwarz作用素2016
- Author(s)
  高崎金久、中津了勇
- Journal Title
  
  日本数学会2016年度総合分科会無限可積分系特別セッション講演アブストラクト
  
  Volume : ー Pages : 45-46
- Open Access
- Data Source
  KAKENHI-PROJECT-15K04912
[Journal Article] Open string amplitudes of closed topological vertex2016
- Author(s)
  K. Takasaki, T. Nakatsu
- Journal Title
  
  J. Phys. A: Math. Theor.
  
  Volume : A49 Pages : 025201-025201
- DOI
  10.1088/1751-8113/49/2/025201
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04912, KAKENHI-PROJECT-25400111
[Journal Article] Orbifold melting crystal models and reductions of Toda hierarchy2015
- Author(s)
  K. Takasaki
- Journal Title
  
  J. Phys. A: Math. Theor.
  
  Volume : 48 Pages : 215201-215201
- DOI
  10.1088/1751-8113/48/21/215201
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540223, KAKENHI-PROJECT-25400111
[Journal Article] Closed vertex上の位相的弦理論の開弦振幅2015
- Author(s)
  高崎金久, 中津了勇
- Journal Title
  
  日本数学会２０１５年度秋季総合分科会無限可積分系特別セッション講演アブストラクト
  
  Volume : 2015 秋 Pages : 5-6
- Open Access / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04912
[Journal Article] Generalized Ablowitz-Ladik hierarchy in topological string theory2014
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume : 47 Pages : 165201-165201
- DOI
  10.1088/1751-8113/47/16/165201
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400111
[Journal Article] Modified melting crystal model and Ablowitz-Ladik hierarchy2014
- Author(s)
  K.Takasaki
- Journal Title
  
  Journal of Physics: Conference Series
  
  Volume : 482 Pages : 012041-012041
- DOI
  10.1088/1742-6596/482/1/012041
- Peer Reviewed / Open Access / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540223, KAKENHI-PROJECT-25400111
[Journal Article] Modified melting crystal model and Ablowitz-Ladik hierarchy2013
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  arXiv:1302.6129 [math-ph]
  
  Volume : -
- Data Source
  KAKENHI-PROJECT-24540223
[Journal Article] Modified melting crystal model and Ablowitz-Ladik hierarchy2013
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume : 46
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540186
[Journal Article] Remarks on partition functions of topological string theory on generalized conifolds2013
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  arXiv:1301.4548 [math-ph]
  
  Volume : -
- Data Source
  KAKENHI-PROJECT-24540223
[Journal Article] Generalized string equations for double Hurwitz numbers2012
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  Journal of Geometry and Physics
  
  Volume : 62 Pages : 1135-1156
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540186
[Journal Article] An hbar-dependent formulation of the Kadomotsev-Petviashvili hierarchy2012
- Author(s)
  Kanehsia Takasaki and Takashi Takebe
- Journal Title
  
  Theoretical and Mathematical Physics
  
  Volume : 171 Pages : 683-690
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540186
[Journal Article] An hbar-expansion of the Toda hierarchy: a recursive construction of solutions2012
- Author(s)
  Kanehisa Takasaki and Takashi Takebe
- Journal Title
  
  Analysis and Mathematical Physics
  
  Pages : 171-214
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540186
[Journal Article] hermodynamic limit of random partitions and dispersionless Toda hierarchy2012
- Author(s)
  Kanehisa Takasaki and Toshio Nakatsu
- Journal Title
  
  J. Phys. A: Math. Theor.
  
  Volume : 45
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540186
[Journal Article] Old and new reductions of dispersionless Toda hierarchy2012
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  SIGMA 8
  
  Volume : 102 Pages : 22-22
- DOI
  10.3842/sigma.2012.102
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540186
[Journal Article] Generalized string equations for double Hurwitz numbers2012
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  Journal of Greometry and Physics
  
  Volume : 62 Issue : 5 Pages : 1135-1156
- Publisher
  Elsevier B.V.
- DOI
  10.1016/j.geomphys.2011.12.005
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540186
[Journal Article] Generalized string equations for double Hurwitz numbers2012
- Author(s)
  高崎金久
- Journal Title
  
  Journal of Geometry and Physics
  
  Volume : 62(2012) Pages : 1135-1156
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540218
[Journal Article] hbar-Dependent KP hierarchy2012
- Author(s)
  Kanehisa Takasaki and Takashi Takebe
- Journal Title
  
  Theoretical and Mathematical Physics
  
  Volume : 171 (2) Pages : 683-690
- DOI
  10.1007/s11232-012-0065-y
- Data Source
  KAKENHI-PROJECT-22540186
[Journal Article] Generalized string equation for double Hurwitz numbers2012
- Author(s)
  高崎金久
- Journal Title
  
  Journal of Geometry and Physics
  
  Volume : Vol 62 Pages : 1135-1156
- URL
  http://dx.doi.org/10.1016/j.geomphys.2011.12.005
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540218
[Journal Article] Thermodynamic limit of random partitions and dispersionless Toda hierarchy2012
- Author(s)
  高崎金久、中津了勇
- Journal Title
  
  J.Phys.A : Math.Theor.
  
  Volume : Vol 45 Pages : 25403-25403
- DOI
  10.1088/1751-8113/45/2/025403
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540218, KAKENHI-PROJECT-22540186
[Journal Article] Toda tau functions with quantum torus symmetries2011
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  Acta Polytechnica
  
  Volume : 51 Pages : 74-76
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540186
[Journal Article] Toda tau functions with quantum torus symmetries2011
- Author(s)
  高崎金久
- Journal Title
  
  Acta Polytechnica
  
  Volume : 51 Pages : 74-76
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540218
[Journal Article] Integrable structure of melting crystal model with external potentials2010
- Author(s)
  中津了勇、高崎金久
- Journal Title
  
  Adv. Studies in Pure. Math
  
  Volume : Vol 59 Pages : 201-223
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540218
[Journal Article] Non-degenerate solutions of universal Whitham hierarchy2010
- Author(s)
  高崎金久, T.Takebe, L.P.Teo
- Journal Title
  
  J.Phys.A : Math.Theor
  
  Volume : 43 Pages : 325205-325205
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540218
[Journal Article] Integrable structure of melting crystal model with external potentials2010
- Author(s)
  中津了勇, 高崎金久
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume : 59 Pages : 201-223
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540218
[Journal Article] 対数的時間発展による非線形Schroedinger階層とAblowitz-Ladik階層の拡張2010
- Author(s)
  高崎金久
- Journal Title
  
  九州大学応用力学研究所研究集会報告 21ME-S7
  
  Pages : 43-48
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] Two extensions of 1D Toda hierarchy2010
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  Journal of Physics A : Mathematical and Theoretical (印刷中)(未定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] extended 5d Seiberg-Witten Theory and Melting Crystal2009
- Author(s)
  T. Nakatsu, Y. Noma, K. Takasaki
- Journal Title
  
  Nuclear Physics B vol.808
  
  Pages : 411-440
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] Integrable structure of melting crystal model with two q-parameters2009
- Author(s)
  K. Takasaki
- Journal Title
  
  Journal of Geometry and Physics vol.59
  
  Pages : 1244-1257
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] Auxiliary linear problem, difference Fay identities and dispersionless limit of Pfaff-Toda hierarch2009
- Author(s)
  K. Takasaki
- Journal Title
  
  SIGMA vol.5
  
  Pages : 109-109
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] Two extensions of 1D Toda hierarchy2009
- Author(s)
  K. Takasaki
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] Extended 5d Seiberg-Witten Theory and Melting Crystal2009
- Author(s)
  T. Nakatsu, Y. Noma, K. Takasaki
- Journal Title
  
  Nucl.Phys. B808
  
  Pages : 411-440
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Melting Crystal, Quantum Torus and Toda Hierarchy2009
- Author(s)
  T. Nakatsu, K. Takasaki
- Journal Title
  
  Commun.Math.Phys. 285
  
  Pages : 446-468
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Melting Crystal, Quantum Tbrus and Toda Hierarchy2009
- Author(s)
  T. Nakatsu, K. Takasaki
- Journal Title
  
  Commun, Math. Phys. 285
  
  Pages : 445-468
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19104002
[Journal Article] Extended 5d Seiberg-Witten Theory and Melting Crystal2009
- Author(s)
  T. Nakatsu, Y. Noma, K. Takasaki
- Journal Title
  
  Nucl. Phys. B 808
  
  Pages : 411-440
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Integrable structure of melting crystal model with two q-parameters2009
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  Journal of Geometry and Physics 59
  
  Pages : 1244-1257
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] Melting Crystal, Quantum Torus and Toda Hierarchy2009
- Author(s)
  Toshio Nakatsu, Kanehisa Takasaki
- Journal Title
  
  Communications in Mathematical Physics 285
  
  Pages : 445-468
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] Extended 5d Seiberg-Witten Theory and Melting Crystal2009
- Author(s)
  Toshio Nakatsu, Yui Noma, Kanehisa Takasaki
- Journal Title
  
  Nuclear Physics B 808
  
  Pages : 411-440
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] Auxiliary linear problem, difference Fay identities and dispersionless limit of Pfaff-Toda hierarchy2009
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  SIGMA(電子ジャーナル) 5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] Melting crystal, quantum torus and Toda hierarchy2009
- Author(s)
  T. Nakatsu, K. Takasaki
- Journal Title
  
  Communications in Mathematical Physics vol.285
  
  Pages : 445-468
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] Melting Crystal, Quantum Torus and Toda Hierarchy2009
- Author(s)
  T. Nakatsu, K. Takasaki
- Journal Title
  
  Commun. Math. Phys. 285
  
  Pages : 445-468
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Integrable Structure of 5d N=1 Supersymmetric Yang-Mills and Melting Crystal2008
- Author(s)
  T. Nakatsu, Y. Noma, K. Takasaki
- Journal Title
  
  Int.J.Mod.Phys. A23
  
  Pages : 2332-2342
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Loewner equations, Hirota equations and reductions of universal Whitham hierarchy2008
- Author(s)
  K. Takasaki, T. Takebe
- Journal Title
  
  J.Phys. A41 475206
  
  Pages : 27-27
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Melting Crystal, Quantum Torus and Toda Hierarchy2008
- Author(s)
  T. Nakatsu and K. Takasaki
- Journal Title
  
  Communications in Mathematical Physics (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] Loewner equations, Hirota equations and reductions of universal Whitham hierarchy2008
- Author(s)
  Kanehisa Takasaki, Takashi Takebe
- Journal Title
  
  Journal of Physics A : Mathemagical and Theoretical 41
  
  Pages : 475206-475206
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] Integrable Structure of 5d N=1 Supersymmetric Yang-Mills and Melting Crystal2008
- Author(s)
  Toshio Nakatsu, Yui Noma, Kanehisa Takasaki
- Journal Title
  
  International Journal of Modern Physics 23
  
  Pages : 2332-2342
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] Loewner equations, Hirota equations and reductions of universal Whitham hierarchy2008
- Author(s)
  K. Takasaki, T. Takebe
- Journal Title
  
  Journal of Physics A: Mathemagical and Theoretical vol.41
  
  Pages : 475206-475206
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540179
[Journal Article] Loewner equations, Hirota equations and reductions of universal Whitham hierarchy2008
- Author(s)
  K. Takasaki, T. Takebe
- Journal Title
  
  J. Phys. A 41
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Integrable structure of 5d N=1 Supersymmetric Yang-Mills and Melting Crystal2008
- Author(s)
  T. Nakatsu, Y. Noma, K. Takasaki
- Journal Title
  
  Int. J. Mod. Phys. A 23
  
  Pages : 2332-2342
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Universal Whitham hierarchy, dispersionless Hirota equations and multi-component KP hierarchy2007
- Author(s)
  Kanehisa Takasaki, Takashi Takebe
- Journal Title
  
  Physica D235
  
  Pages : 109-125
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Hamiltonian structure of PI hierarchy2007
- Author(s)
  K.Takasaki
- Journal Title
  
  Symmetry, Integrability and Geometry : Methods and Applications 3
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Universal Whitham hierarchy, dispersionless Hirota equations2007
- Author(s)
  Kanehisa Takasaki, Takashi Takebe
- Journal Title
  
  Physica D (掲載決定)
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Hamiltonian structure of PI hierarchy2007
- Author(s)
  K.Takasaki
- Journal Title
  
  SIGMA 3(on-line journal)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Hamiltonian structure of PI hierarchy2007
- Author(s)
  K.Takasaki
- Journal Title
  
  SIGMA (on-line journal) 3
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Dispersionless Hirota equations of two-component BKP hierarchy2006
- Author(s)
  K.Takasaki
- Journal Title
  
  Symmetry, Integrability and Geometry : Methods and Applications 2
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Explicit solutions of the classical Calogero & Sutherland systems for any root system2006
- Author(s)
  R, Sasaki, K.Takasaki
- Journal Title
  
  Journal of Mathematical Physics 47(掲載予定)
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Dispersionless Hirota equations of two-component BKP hierarchy2006
- Author(s)
  K.Takasaki
- Journal Title
  
  SIGMA (on-line journal) 2
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Explicit solutions of the classical Calogero and Sutherland systems for any root system2006
- Author(s)
  R.Sasaki, K.Takasaki
- Journal Title
  
  Journal of Mathematical Physics 47
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Dispersionless Hirota equations of two-component BKP hierarchy2006
- Author(s)
  Kanehisa Takasaki, Takashi Takebe
- Journal Title
  
  SIGMA 2
  
  Pages : 57-57
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Dispersionless Hirota equations of two-component BKP hierarchy2006
- Author(s)
  K.Takasaki
- Journal Title
  
  SIGMA 2(on-line journal)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Explicit solutions of the classical Calogero＆ Sutherland systems for any root system2006
- Author(s)
  R.Sasaki, K.Takasaki
- Journal Title
  
  J. Math. Phys. 47-1
- Data Source
  KAKENHI-PROJECT-14102001
[Journal Article] Explicit solutions of the classical Calogero and Sutherland systems for any root system2006
- Author(s)
  R.Sasaki, K.Takasaki
- Journal Title
  
  Progress of Theoretical Physics 47
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Dispersionless Hirota equations of two-component BKP hierarchy2006
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  SIGMA 2
  
  Pages : 22-22
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Five-dimensional supersymmetric Yang-Mills theories and random plane Partition2005
- Author(s)
  T.Maeda, T.Nakatsu, K.Takasaki, T.Tamakoshi
- Journal Title
  
  JHEP 0503
  
  Pages : 56-56
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Journal Article] Free fermion and Seiberg-Witten differential in random plane partitions2005
- Author(s)
  T.Maeda, T.Nakatsu, K.Takasaki, T.Tamakoshi
- Journal Title
  
  Nucl.Phys.B 715
  
  Pages : 275-303
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Journal Article] $q$-analogue of modified KP hierarchy and its quasi-classical limit2005
- Author(s)
  Takasaki, Kanehisa
- Journal Title
  
  Lett.Math.Phys. 72-3
  
  Pages : 165-181
- Data Source
  KAKENHI-PROJECT-14102001
[Journal Article] Elliptic spectral parameter and infinite-dimensional Grassmann variety.2005
- Author(s)
  Takasaki, Kanehisa
- Journal Title
  
  Progr.Math. 237
  
  Pages : 175-203
- Data Source
  KAKENHI-PROJECT-14102001
[Journal Article] Five-Dimensional Supersymmetric Yang-Mills Theories and Random Plane Partitions2005
- Author(s)
  T.Maeda, T.Nakatsu, K.Takasaki, T.Tamakoshi
- Journal Title
  
  JHEP 03・056(オンラインジャーナル)
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] q-analogue of modified KP hierarchy and its quasi-classical limit2005
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  Letters in Mathematical Physics 72・3
  
  Pages : 165-181
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Free fermion and Seiberg-Witten differential in random plane partitions2005
- Author(s)
  T.Maeda, T.Nakatsu, K.Takasaki, T.Tamakoshi
- Journal Title
  
  Nucl.Phys. B175
  
  Pages : 275-303
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Journal Article] Five-dimensional supersymmetric Yang-Mills theories & random plane partitions2005
- Author(s)
  T.Maeda, T.Nakatsu, K.Takasaki, T.Tamakoshi
- Journal Title
  
  JHEP (J.High Energy Physics) 0503
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Journal Article] Elliptic spectral parameter and infinite dimensional Grassmann variety2005
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  Progress in Mathematics(単行本,Birkhauser) 237
  
  Pages : 169-197
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Five-Dimensional Supersymmetric Yang-Mills Theories and Random Plane Partitions2005
- Author(s)
  T.Maeda, T.Nakatsu, K.Takasaki, T.Tamakoshi
- Journal Title
  
  JHEP (on-line journal) 03
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] q-analogue of modified KP hierarchy and its quasi-classical limit2005
- Author(s)
  K.Takasaki
- Journal Title
  
  Letters in Mathematical Physics 72
  
  Pages : 165-181
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Free Fermion and Seiberg-Witten Differential in Random Plane Partitions2005
- Author(s)
  T.Maeda, T.Nakatsu, K.Takasaki, T.Tamakoshi
- Journal Title
  
  Nuclear Physics B 715
  
  Pages : 275-303
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Free Fermion and Seiberg-Witten Differential in Random Plane Partitions2005
- Author(s)
  T.Maeda, T.Nakatsu, K.Takasaki, T.Tamakoshi
- Journal Title
  
  Nuclear Physics B715
  
  Pages : 275-303
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Five-Dimensional Supersymmetric Yang-Mills Theories and Random Plane Partitions2005
- Author(s)
  T.Maeda, T.Nakatsu, K.Takasaki, T.Tamakoshi
- Journal Title
  
  JHEP 03(on-line journal)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340040
[Journal Article] Landau-Lifshitz hierarchy and infinite dimensional Grassmann variety2004
- Author(s)
  Kanehisa Takasaki
- Journal Title
  
  Lett.Math.Phys 67(2)
  
  Pages : 141-152
- Data Source
  KAKENHI-PROJECT-14540259
[Journal Article] Tyurin parameters and elliptic analogue of nonlinear Schrodinger hierarchy2004
- Author(s)
  K.Takasaki
- Journal Title
  
  J. Math. Sci. Univ. Tokyo 11
  
  Pages : 91-131
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14102001
[Journal Article] Tyurin parameters and elliptic analogue of nonlinear Schrodinger hierarchy.2004
- Author(s)
  K.TakasakI
- Journal Title
  
  J.Math.Sci.Univ.Tokyo 11
  
  Pages : 91-131
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14102001
[Journal Article] Tyurin parameters and elliptic analogue of nonlinear Schr odinger hierarchy2004
- Author(s)
  K.Takasaki
- Journal Title
  
  J.Math.Sci.Univ.Tokyo 11
  
  Pages : 91-131
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Journal Article] Landau-Lifshitz hierarchy and infinite dimensional Grassmann variety2004
- Author(s)
  K.Takasaki
- Journal Title
  
  Lett.Math.Phys. 67
  
  Pages : 141-152
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Journal Article] Tyurin parameters and elliptic analogue of nonlinear Schroedinger hierarchy2004
- Author(s)
  K.Takasaki
- Journal Title
  
  J.Math.Sci.Univ.Tokyo 11
  
  Pages : 91-131
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Journal Article] An integrable system on the moduli space of rational functions and its variants2003
- Author(s)
  K.Takasaki, T.Takebe
- Journal Title
  
  J.Geom.Phys. 47
  
  Pages : 1-20
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Journal Article] Spectral curve & Hamiltonian structure of isomonodromic SU(2) Calogero-Gaudin system2003
- Author(s)
  K.Takasaki
- Journal Title
  
  J.Math.Phys. 44
  
  Pages : 3979-3999
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Journal Article] An integrable system on the moduli space of rational functions & its varian2003
- Author(s)
  K.Takasaki, T.Takebe
- Journal Title
  
  J.Geom.Phys. 47
  
  Pages : 1-20
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Journal Article] Spectral curve Darboux coordinates and Hamiltonian structure of periodic dressing chains2003
- Author(s)
  K.Takasaki
- Journal Title
  
  Comm.Math.Phys. 241
  
  Pages : 111-142
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Journal Article] Spectral curve and Hamiltonian structure of isomonodromic SU(2) Calogero-Gaudin system2003
- Author(s)
  K.Takasaki
- Journal Title
  
  J.Math.Phys. 44
  
  Pages : 3979-3999
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Journal Article] Spectral curve Darboux coordinates & Hamiltonian structure of periodic dressing chains2003
- Author(s)
  K.Takasaki
- Journal Title
  
  Commun.Math.Phys. 241
  
  Pages : 111-142
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540259
[Presentation] 位相的頂点とVolterra型可積分階層2018
- Author(s)
  高崎金久
- Organizer
  日本数学会2018年度年会（東京大学）
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] 3D Young diagrams and Gromov-Witten theory of CP12018
- Author(s)
  高崎金久
- Organizer
  第 13 回代数・解析・幾何学セミナー（鹿児島大学理学部）
- Invited
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] Quantum spectral curve of melting crystal model and its 4D limit2017
- Author(s)
  Kanehisa Takasaki
- Organizer
  Geometry, Analysis and Mathematical Physics
- Place of Presentation
  京都大学
- Year and Date
  2017-02-13
- Invited
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] Melting crystal model and its 4D limit2017
- Author(s)
  Kanehisa Takasaki
- Organizer
  Physics and Mathematics of Nonlinear Phenomena (Gallipoli, Italy)
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] Topological vertex and quantum mirror curves2016
- Author(s)
  Kanehisa Takasaki
- Organizer
  `Rikkyo MathPhys 2016
- Place of Presentation
  立教大学
- Year and Date
  2016-01-09
- Invited
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] Integrable hierarchies in melting crystal models and topological vertex2016
- Author(s)
  Kanehisa Takasaki
- Organizer
  KIAS Workshop on integrable systems and related topics
- Place of Presentation
  KIAS, Seoul, Korea,
- Year and Date
  2016-06-21
- Invited
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] Integrable hierarchies in melting crystal models and topological vertex2016
- Author(s)
  Kanehisa Takasaki
- Organizer
  Integrable Hierarchies and Beyond
- Place of Presentation
  名古屋大学
- Year and Date
  2016-08-29
- Invited
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] Closed topological vertexの量子ミラー曲線とq-差分型Kac-Schwarz作用素2016
- Author(s)
  高崎金久, 中津了勇
- Organizer
  日本数学会2016年度総合分科会
- Place of Presentation
  関西大学
- Year and Date
  2016-09-15
- Data Source
  KAKENHI-PROJECT-15K04912
[Presentation] 行列の因子分解とKostant-Toda階層の簡約2016
- Author(s)
  高崎金久
- Organizer
  応用解析研究会～可積分系から計算数学まで～
- Place of Presentation
  天満研修センター（大阪）
- Year and Date
  2016-05-17
- Invited
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] Integrable hierarchies in melting crystal models and topological vertex'2016
- Author(s)
  高崎金久
- Organizer
  the KIAS Workshop on integrable systems and related topics
- Place of Presentation
  KIAS, Seoul, Korea
- Year and Date
  2016-06-21
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-15K04912
[Presentation] Integrable hierarchies in melting crystal models and topological vertex2016
- Author(s)
  高崎金久
- Organizer
  Infinite Analysis 16 Summer school ``Integrable Hierarchies and Beyond''
- Place of Presentation
  名古屋大学大学院多元数理科学研究科
- Year and Date
  2016-08-29
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-15K04912
[Presentation] closed topological vertexの量子ミラー曲線とq-差分型Kac-Schwarz作用素2016
- Author(s)
  高崎金久
- Organizer
  日本数学会2016年度総合分科会
- Place of Presentation
  関西大学
- Year and Date
  2016-09-15
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] Topological vertex and quantum mirror curves2016
- Author(s)
  K. Takasaki
- Organizer
  International Symposium　RIKKYO MathPhys 2016
- Place of Presentation
  立教大学
- Year and Date
  2016-01-09
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-15K04912
[Presentation] closed topological vertexの開弦振幅2015
- Author(s)
  高崎金久，中津了勇
- Organizer
  日本数学会2015年度総合分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] Topological vertex and quantum mirror curves2015
- Author(s)
  Kanehisa Takasaki
- Organizer
  Quantization of Spectral Curves
- Place of Presentation
  大阪市立大学
- Year and Date
  2015-11-06
- Invited
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] Integrable structure of various melting crystal model2015
- Author(s)
  Kanehisa Takasaki
- Organizer
  研究会 ``Curves, Moduli and Integrable Systems''
- Place of Presentation
  津田塾大学（東京）
- Year and Date
  2015-02-18
- Invited
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] Integrable structure of various melting crystal models2015
- Author(s)
  Kanehisa Takasaki
- Organizer
  Recent Progress of Integrable Systems
- Place of Presentation
  国立台湾大学
- Year and Date
  2015-04-10
- Invited
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] Closed vertex上の位相的弦理論の開弦振幅2015
- Author(s)
  高崎金久, 中津了勇
- Organizer
  日本数学会２０１５年度秋季総合分科会無限可積分系特別セッション
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-15K04912
[Presentation] 溶解結晶模型の可積分構造2014
- Author(s)
  高崎金久
- Organizer
  研究集会「非線形数理モデルの諸相：連続，離散，超離散，その先」
- Place of Presentation
  九州大学マス・フォア・インダストリ研究所（福岡）
- Year and Date
  2014-08-08
- Invited
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] 溶解結晶模型とAblowitz-Ladki 階層2013
- Author(s)
  高崎金久
- Organizer
  日本数学会年会
- Place of Presentation
  京都大学
- Year and Date
  2013-03-22
- Data Source
  KAKENHI-PROJECT-22540186
[Presentation] 溶解結晶模型とAblowitz-Ladik階層2013
- Author(s)
  高崎金久
- Organizer
  日本数学会年会一般講演
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-24540223
[Presentation] Combinatorial properties of toric topological string partition functions2012
- Author(s)
  Kanehisa Takasaki
- Organizer
  合宿型セミナー「ヤング図形・統計物理に関連する代数的組合せ論」(招待講演)
- Place of Presentation
  国際高等研究所 .招待あり
- Year and Date
  2012-08-09
- Data Source
  KAKENHI-PROJECT-22540186
[Presentation] Integrable structure of melting crystal model2012
- Author(s)
  Kanehisa Takasaki
- Organizer
  Integrability in Gauge and String Theory
- Place of Presentation
  スイス連邦工科大学チューリッヒ校
- Year and Date
  2012-08-23
- Data Source
  KAKENHI-PROJECT-22540186
[Presentation] Combinatorial properties of toric topological string partition functions2012
- Author(s)
  Kanehisa Takasaki
- Organizer
  合宿型セミナー「ヤング図形・統計物理に関連する代数的組合せ論」
- Place of Presentation
  国際高等研究所
- Invited
- Data Source
  KAKENHI-PROJECT-22540186
[Presentation] Integrable structure of modified melting crystal model2012
- Author(s)
  Kanehisa Takasaki
- Organizer
  Integrability in Gauge and String Theory
- Place of Presentation
  ETH Zurich, Switzerland
- Data Source
  KAKENHI-PROJECT-24540223
[Presentation] 無分散変形 KP 階層の新しい簡約2011
- Author(s)
  高崎金久
- Organizer
  日本数学会年会
- Place of Presentation
  早稲田大学(備考:東日本大震災によって中止されたが,講演アブストラクト集の発行によって発表は行われたものとみなされている)
- Year and Date
  2011-03-22
- Data Source
  KAKENHI-PROJECT-22540186
[Presentation] Non-degenerate solutions of universal Whitham hierarchy2011
- Author(s)
  Kanehisa Takasaki
- Organizer
  7th International Conference on Nonlinear Evolution Equations and Wave Phenomena : Computation and Theory
- Place of Presentation
  University of Georgia, Athens, USA(招待講演)
- Year and Date
  2011-04-05
- Data Source
  KAKENHI-PROJECT-22540186
[Presentation] 無分散変形KP階層の新しい簡約2011
- Author(s)
  高崎金久
- Organizer
  日本数学会年会無限可積分系セッション
- Place of Presentation
  備考:震災によって年会(早稲田大学)は中止されたが,講演アブストラクト集の発行によって発表は行われたものとみなされる
- Year and Date
  2011-03-22
- Data Source
  KAKENHI-PROJECT-22540186
[Presentation] 溶解結晶模型の可積分構造2010
- Author(s)
  高崎金久
- Organizer
  日本数学会2010年年会,無限可積分系セッション特別講演
- Place of Presentation
  慶應義塾大学
- Year and Date
  2010-03-27
- Data Source
  KAKENHI-PROJECT-19104002
[Presentation] Toda tau function with quantum torus symmetries2010
- Author(s)
  Kanehisa Takasaki
- Organizer
  19th International Colloquium on Integrable Systems and Quantum Symmetries
- Place of Presentation
  Czech Technical University, Prague, Czech Republic
- Year and Date
  2010-06-18
- Data Source
  KAKENHI-PROJECT-22540186
[Presentation] Toda tau function with quantum torus symmetries2010
- Author(s)
  高崎金久
- Organizer
  19th International Colloquium "Integrable Systems and Quantum Symmetries"
- Place of Presentation
  チェコ工科大学(プラハチェコ)
- Data Source
  KAKENHI-PROJECT-21540218
[Presentation] フルヴィッツ数に関連する戸田階層の特殊解とその古典極限2010
- Author(s)
  高崎金久
- Organizer
  日本数学会秋期総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-24
- Data Source
  KAKENHI-PROJECT-22540186
[Presentation] 溶解結晶模型の可積分構造2010
- Author(s)
  高崎金久
- Organizer
  日本数学会2010年年会
- Place of Presentation
  慶應義塾大学矢上キャンパス
- Year and Date
  2010-03-27
- Data Source
  KAKENHI-PROJECT-19540179
[Presentation] フルヴィッツ数に関連する戸田階層の特殊解とその古典極限2010
- Author(s)
  高崎金久
- Organizer
  日本数学会2010年秋季総合分科会
- Place of Presentation
  名古屋大学
- Data Source
  KAKENHI-PROJECT-21540218
[Presentation] Generalized string equations forHurwitz numbers2010
- Author(s)
  高崎金久
- Organizer
  可積分系,ランダム行列,代数幾何と幾何学的不変量
- Place of Presentation
  京都大学人間環境学研究科
- Data Source
  KAKENHI-PROJECT-21540218
[Presentation] 溶解結晶模型の可積分構造2010
- Author(s)
  高崎金久
- Organizer
  日本数学会
- Place of Presentation
  慶應義塾大学
- Data Source
  KAKENHI-PROJECT-21540218
[Presentation] Toda tau function with quantum torus symmetries2010
- Author(s)
  高崎金久
- Organizer
  19th International Colloquium Integrable Systems and Quantum Symmetries
- Place of Presentation
  チェコ工科大学(プラハ、チエコ)
- Data Source
  KAKENHI-PROJECT-21540218
[Presentation] 2個のqパラメータをもつランダム平面分割の可積分構造2009
- Author(s)
  高崎金久
- Organizer
  日本数学会2009年年会
- Place of Presentation
  東京大学数理科学研究科
- Year and Date
  2009-03-28
- Data Source
  KAKENHI-PROJECT-19540179
[Presentation] KP and Toda tau functions in Bethe ansatz: a review2009
- Author(s)
  K. Takasaki
- Organizer
  Workshop ''Infinite Analysis 09- New trends in quantum integrable systems''
- Place of Presentation
  京都大学大学院理学研究科
- Year and Date
  2009-06-28
- Data Source
  KAKENHI-PROJECT-19540179
[Presentation] 対数的時間発展による非線形Schroedinger階層とAblowitz-Ladik階層の拡張2009
- Author(s)
  高崎金久
- Organizer
  日本数学会2009年秋季総合分科会
- Place of Presentation
  大阪大学大学院理学研究科
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-19540179
[Presentation] KP and Toda tau functions in Bethe ansatz : a review2009
- Author(s)
  Kanehisa Takasaki
- Organizer
  Workshop "Infinite Analysis 09---New trends in quantum integrable systems"
- Place of Presentation
  京都大学大学院理学研究科
- Year and Date
  2009-06-28
- Data Source
  KAKENHI-PROJECT-19540179
[Presentation] 対数的時間発展による非線形Schroedinger階層とAblowitz-Ladik階層の拡張2009
- Author(s)
  高崎金久
- Organizer
  研究集会「非線形波動の現状と将来」
- Place of Presentation
  九州大学応用力学研究所
- Year and Date
  2009-11-20
- Data Source
  KAKENHI-PROJECT-19540179
[Presentation] Integrable structure in melting crystal model of 5D gauge theory2008
- Author(s)
  高崎金久
- Organizer
  Workshop "New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry"
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-01-10
- Data Source
  KAKENHI-PROJECT-19540179
[Presentation] Dispersionless Hirota equations and reduction of universal Wthitham hierarchy2008
- Author(s)
  K. Takasaki
- Organizer
  Workshop "Laplacian Growth and Related Topics"
- Place of Presentation
  モントリオール大学
- Year and Date
  2008-08-21
- Data Source
  KAKENHI-PROJECT-19540179
[Presentation] Integrable structure in melting crystal model of 5D gauge theory2008
- Author(s)
  高崎金久
- Organizer
  研究集会"New developments in Algebraic Geometry, Integrable Systems and Mirror symmetry"
- Place of Presentation
  数理解析研究所
- Year and Date
  2008-01-10
- Data Source
  KAKENHI-PROJECT-19540179
[Presentation] Dispersionless Hirota equations and reduction of universal Wthitham hierarchy2008
- Author(s)
  Kanehisa Takasaki
- Organizer
  Workshop "Laplacian Growth and Related Topics"
- Place of Presentation
  CRM, University of Montreal
- Year and Date
  2008-08-21
- Data Source
  KAKENHI-PROJECT-19540179
[Presentation] Dispersionless Hirota equations and reduction of universal Wthitham hierarchy2008
- Author(s)
  Kanehisa Takasaki
- Organizer
  Laplacian Growth and Related Topics
- Place of Presentation
  CRM, Univ. Montreal, Canada
- Year and Date
  2008-08-21
- Data Source
  KAKENHI-PROJECT-18340061
[Presentation] Dispersionless Hirota equations of multi-component integrable hierarchies2006
- Author(s)
  Kanehisa Takasaki
- Organizer
  MISGRAM workshop "Integrable Systems in Applied Mathematics,"
- Place of Presentation
  Madrid, Spain
- Year and Date
  2006-09-12
- Data Source
  KAKENHI-PROJECT-18340061
[Presentation] Modified melting crystal model and Ablowitz-Ladik hierarchy
- Author(s)
  Kanehisa Takasaki
- Organizer
  Physics and Mathematic of Nonlinear Phenomena
- Place of Presentation
  Gallipoli, Italy
- Invited
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] 位相的弦理論における一般化された Ablowitz-Ladik 階層
- Author(s)
  高崎金久
- Organizer
  日本数学会年会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-25400111
[Presentation] Integrable structure of various melting crystal model
- Author(s)
  K. Takasaki
- Organizer
  研究会 ``Curves, Moduli and Integrable Systems''
- Place of Presentation
  津田塾大学
- Year and Date
  2015-02-17 – 2015-02-19
- Invited
- Data Source
  KAKENHI-PROJECT-24540223
[Presentation] 溶解結晶模型の可積分構造
- Author(s)
  高崎金久
- Organizer
  研究集会「非線形数理モデルの諸相：連続，離散，超離散，その先」
- Place of Presentation
  九州大学マス・フォア・インダストリ研究所
- Year and Date
  2014-08-06 – 2014-08-08
- Invited
- Data Source
  KAKENHI-PROJECT-24540223

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TAKASAKI Kanehisa 高崎 金久

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Integrable hierarchies related to Gromov-Witten invariantsPrincipal InvestigatorOngoing

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Integrable structures in mathematical physics and combinatoricsPrincipal Investigator

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Theory of integrable hierarchies and its application to mathematical physicsPrincipal Investigator

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Search for new connection of integrable systems and mathematical physicsPrincipal Investigator

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Geometric structure and integrable systems in mathematical physicsPrincipal Investigator

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Integrable systems with higher genus spectral parameterPrincipal Investigator

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TAKASAKI Kanehisa 高崎金久