Rchr

J-GLOBAL ID：200901087129275088 Update date: Mar. 29, 2024

Yamada Yasuhiko

ヤマダヤスヒコ | Yamada Yasuhiko

Affiliation and department：
Job title： Professor

Research field (1)： Mathematical analysis

Research keywords (3)： integrable systems , special functions , mathematical physics

Research theme for competitive and other funds (51)：

2022 - 2027 量子曲線に基づく量子パンルヴェ方程式の構築と応用
2022 - 2027 Algebraic Geometry and Integrable Systems -- Moduli theory and Equations of Painleve type
2018 - 2023 タウ函数の特異極限における新しいソリトン方程式系とその応用
2017 - 2022 代数幾何と可積分系の融合 - 理論の深化と数学・数理物理学における新展開 -
2017 - 2022 代数幾何と可積分系の融合 - 種々のモジュライ空間と数学・数理物理学の新展開 -

2015 - 2020 楕円差分の可積分系と特殊函数の研究

2014 - 2019 量子モノドロミー保存変形とラックス形式

2012 - 2018 Bilinear method for multi-component coupled integrable systems

2014 - 2017 Pursuit of analogies between quantum difference isomonodromic systems, quantum Teichmuller theory, and solvable lattice models

2014 - 2017 非線形発展方程式系におけるrogue wave解の一般的構成とその代数構造の研究

2011 - 2016 Studies of the algebraic and combinatorial structures related to quantum integrable systems

2012 - 2016 代数幾何と可積分系の融合と進化

2012 - 2016 モジュライ理論による代数幾何と可積分系の新たな展開

2012 - 2015 Integrable models and quantum cluster algebras

2010 - 2014 Study of vector bundles using the theory of complexes

2011 - 2013 Approach to the polynomials related to representation theory from quantum integrable systems

2009 - 2011 Combinatorics and difference structure in Bethe ansatz

2007 - 2010 Theory of Painleve systems and its new development

2009 - 離散可積分系における幾何的方法

2007 - 2008 Ultradiscrete solitons and solvable lattice models

2006 - 2007 Integrable Systems and Combinatorial Representation Theory

2007 - 普遍指標の拡張と新しいソリトン方程式系

2007 - 代数幾何と可積分系の融合と新しい展開

2003 - 2006 Mathematical theory of dynamical systems of Painleve type

2002 - 2006 Geometry of integrable systems with infinite degrees of freedom and new development of moduli theory.

2006 - 安定層のモジュライ空間の研究

2004 - 2005 Study of Classical and Quantum Integrable Systems and their discretizations

2003 - 2005 Parabolic Kostka polynomials, quiver varieties, crystal bases and tropicalcombinatorics

2005 - 箱玉系と組合せ的Bethe仮説

2005 - 超幾何・パンルヴェ系の総合的研究

2005 - モジュライ空間と可積分系の新しい展開

2005 - トロイダルLie代数対称性をもつ非線形可積分系の一般化、離散化、及び応用の研究

2001 - 2004 Defining manifolds and symmetries of nonlinear special functions in several variables

2001 - 2004 無限自由度の可積分系の数論幾何学的研究

2000 - 2002 The study of vector bundles on an algebraic manifold with the trivial canonical bundle

2000 - 2002 Geometry on String Theory and Moduli spaces

1999 - 2002 Painleve equations and integrable systems

1998 - 2000 Global Analysis of Painleve Equations

1997 - 1999 Modern development of special functions - approach from the representation theory and the integrals

1997 - 1999 Research on Periods of Algebraic Varieties and Hypergeometric Functions

1997 - 1998 Differential equations for periods and super string and susy gauge theories

1996 - 1998 Various aspects of hypergeometric functions

1996 - 1998 Mathematics of Symmetry

1995 - 1995 位相的場の理論とそのモジュライ

1995 - 1995 共形場理論の可積分系への応用

1994 - 1994 ファノ多様体と超幾何函数の代数幾何的研究

1994 - 1994 位相的場の理論とミラー対称性

1994 - 1994 Quantum Field Theories in Low Dimensions and Their Application

1993 - 1993 共形場理論における相関関数の積分表示とその拡張

1992 - 1992 共形場理論における相関関数の積分表示とその拡張

1990 - 1990 超弦理論と基本相互作用

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Papers (53)：

Hidetoshi Awata, Koji Hasegawa, Hiroaki Kanno, Ryo Ohkawa, Shamil Shakirov, Jun'ichi Shiraishi, Yasuhiko Yamada. Non-Stationary Difference Equation and Affine Laumon Space: Quantization of Discrete Painlevé Equation. Symmetry, Integrability and Geometry: Methods and Applications. 2023. 19. 47pp
Sanefumi Moriyama, Yasuhiko Yamada. Quantum Representation of Affine Weyl Groups and Associated Quantum Curves. Symmetry, Integrability and Geometry: Methods and Applications. 2021. 17. pp.24
Masatoshi Noumi, Simon Ruijsenaars, Yasuhiko Yamada. The Elliptic Painlevé Lax Equation vs. van Diejen's 8-Coupling Elliptic Hamiltonian. Symmetry, Integrability and Geometry: Methods and Applications. 2020. 16. pp.16
Hidehito Nagao, Yasuhiko Yamada. Variations of the q-Garnier system. Journal of Physics A: Mathematical and Theoretical. 2018. 51. 13. 135204(19pp)
Hidehito Nagao, Yasuhiko Yamada. Study of q-garnier system by padé method. Funkcialaj Ekvacioj. 2018. 61. 1. 109-133

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MISC (20)：

PARK Kanam, YAMADA Yasuhiko. Symmetry of factorized Lax matrices (Mathematical structures of integrable systems, its deepening and expansion). RIMS Kokyuroku Bessatsu. 2021. 87. 135-147
国場敦夫, 尾角正人, 山田泰彦. 量子座標環,PBW基底と3次元反射方程式 (組合せ論的表現論とその周辺). 数理解析研究所講究録. 2013. 1870. 106-114
山田泰彦. 楕円差分Painleve方程式のLax形式 (可積分系数理とその応用). 数理解析研究所講究録. 2010. 1700. 179-201
Kuniba A., Okado M., Sakamoto R., Takagi T., Yamada Y. 27aXE-1 A new interpretation of the combinatorial mapping associated with Bethe ansatz. Meeting abstracts of the Physical Society of Japan. 2006. 61. 1. 253-253
国場敦夫, 尾角正人, 高木太一郎, 山田泰彦. Tropical $R$ : 例と応用 (可積分系の組合せ論的側面). 数理解析研究所講究録. 2005. 1429. 57-69

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Books (2)：

Padé Methods for Painlevé Equations
Springer Briefs in Mathematical Physics 2021 ISBN:9789811629983
「共形場理論入門」
培風館 2006

Lectures and oral presentations (67)：

Quantum q-P_{VI}, q-KZ equation and q-AGT relation
(Elliptic Integrable Systems, Representation Theory and Hypergeometric Functions (MSJ-SI 2023) 2023)
Quantum representation of affine Weyl groups and mirror symmetry
(Combinatorial Representation Theory and Connections with Related Fields 2021)
Quantum representation of Weyl group W(E^{(1)}_8)
(Web-seminar on Painlev\'e Equations and related topics 2021)
On q-Garnier systems
(SIDE-13 2018)
Geometry of isomonodromy deformations
(MS Seminar 2018)

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Education (1)：

- 1988 Nagoya University Graduate School of Science

Professional career (1)：

理学博士 (名古屋大学)

Awards (1)：

2017 - Journal of Physics A Journal of Physics A Highlights of 2017 collection パンルヴェ方程式の幾何学的研究

Association Membership(s) (1)：

日本数学会

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