NAKAYASHIKI Atsushi 中屋敷厚

… Alternative Names

Researcher Number	10237456
Other IDs
Affiliation (Current)	2019: 津田塾大学, 学芸学部, 教授
Affiliation (based on the past Project Information) *help	2019: 津田塾大学, 学芸学部, 教授 2011 – 2017: 津田塾大学, 学芸学部, 教授 2013: 九州大学, 数理学研究院, 准教授 2010: 九州大学, 大学院・数理学研究院, 准教授 2009: 九州大学, 大学院・数理額研究院, 准教授 … More
Review Section/Research Field	Principal Investigator Algebra / Global analysis / Basic Section 12010:Basic analysis-related / Basic analysis Except Principal Investigator Algebra / Global analysis / Algebra / Geometry / 解析学 / Basic analysis … More
Keywords	Principal Investigator 量子群 / 相関関数 / 可積分系 / 可解格子模型 / タウ関数 / シューア関数 / テータ関数 / 数理物理 / 共形場理論 / アフィンリー環 … More Except Principal Investigator 相関関数 / 量子群 / アフィンリー環 / 形状因子 / 量子スピン系 / パンルヴェ方程式 / XXZ模型 / 可解模型 / 表現論 / 結晶基底 / 8頂点模型 / 楕円量子可積分系 / 作用素環 / 関数解析 / 融合積 / 頂点作用素 / 非可換 / 無限自由度 / 調和写像論 / 可解格子模型 / Takhtajan-Zograf metric / 自由場表示 / 量子コホモロジー論 / Truncation / lattices / G_2軌道 / 超幾何微分方程式 / 相関函数 / 特異点のモデュライ / 無限次元 / Stability / Yang-Mills接続 / アインシュタイン計量 / 等径超曲面 / Eisenstein series / 組み合わせ論 / 超幾何関数 / degeneration / Zeta functions / パーコレーション / Rankin-Selberg Method / 超幾何函数 / Kostka多項式 / Virasoro代数 / qKZ方程式 / integral solution / Rankin-selberg Method / solvable lattice models / 結び目のcongruence / 可換微分作用素系 / 偏屈層 / 共形場理論 / ボソン化構成法 / Vertex operator algebra / stability / Smirnovの公理 / アーベル函数 / q-超幾何関数 / モノドロ〓群 / BEC / ツイストされた(2)ホモロシー / 離散化 / SU(2) invariant Thirring model / 楕円超幾何関数 / ツイスター切断理論 / (Z / Smirnowの公理 / 量子スピン糸 / 変形量子化 / 2重アフィンヘッケ環 / Z-代数 / Kirillov-Reshetikhin加群 / 代数解析 / 厳密統計力学 / Jack Polynomial / quantum groups / conformal field theory / 軌道の幾何学 / 絡み目 / 可積分な運動 / representation theory / 低次元量子系 / アフィンリー代数 / 双曲空間 / フェルミオン公式 / Snlit Proy / BelavinのZ_n対称模型 / Quantum Group / Eisenstein senes / 真空期待値 / 離散曲面 / G2 orbits / モノドロミー / 8頂点SOS模型 / Integrable system / 計算機言語 / 余不変式 / ツイストされた(コ)ホモロジー / 楕円関数 / 量子コホモロジー / reflectionless point / Selberg型積分 / 特異点 / Painleve方程式 / 格子模型 / エントロピー生成 / KZ方程式 / 超曲面の幾何学 / GKO構造 / difference analogue of the KZ equation / 組み合せ論 / レベル零 / nZ)対称模型 / quantum cohomology / カオス性 / 確率場 / NESS / bosonization / パンルヴェ系 / 旗多様体 / Thirring模型 / 超楕円ヤコビ多様体 / qクニズニク-ザモロジコフ方程式 / 可積分場の量子論 / elliptic integrable system / 特殊凾数 / eight-vertex model / 自由fermion / Knizhnik-Zamolodchikov方程式 / 幾何学 / アフィン量子群 / zeta functions / KZ equation / 場の量子論 / ジャック多項式 / 対称空間 / 離散可積分系 / tt*戸田格子 / correlation function / ヴィラソロ代数 / コストカ多項式 / CTMブートストラップ法 / 主編極アーベル多様性 / 頂点作用素代数 / 量子系 / 2次形式 / W-代数 / 離散微分幾何 / 角転送行列法 / 量子論 / τ函数 / 離散曲線 / Fano多様体 / Jack多項式 / Abelian function / CTMブーストラップ法 / 極小表現 / non-commutative / 特異点の解析 / D-加群 / モデュライ理論 / Wittackerベクトル / Whittackerベクトル / 離散曲面・曲線論 / 射影部分多様体 / XYZ模型 / 量子郡 / K2方程式 / 計算環論 / 特異ルジャンドル曲線 / Painleve equation / 無反射点 / 離散曲線・曲面論 / solvable models / Zn対称模型 / entanglement / 楕円量子群 / トロイダル代数 / SU(2)不変Thirring模型 / 接続系数 / 4点形状因子 / ミラー対称性 / 密度行列 / 超幾何微分方程式系 / ホールリトルウッド多項式 / combinatorics / ソリトン / Yang-Mills connection / サインゴルドン模型 / 可積分系 / Fano variety / シグマ函数 / Riemann relation / 摂動スカラー曲率 / Kostka polynomial / fusion product / isoparametric hypersurfaces / Moduli of singularities / 秩序・乱雑相変換 / Taketajan-zograf metne / Koornwinder多頂式 / Sklyanin代数 / XXX模型 / Einstein metric / フェルミオニック公式 / q-二項定理 / フェルミ型公式 / Entanglement / 運動の積分 / SOS model / 多変数アーベル函数 / リーマン関係式 / SOS模型 / q-Selberg積分 / 極小曲面のガウス写像 / truncation / Macdonald polynomial / 無反射8頂点模型 / 有理多様体 / イジング模型 / crystal / low dimensional / クレパント解消予想 / 有限温度 / G2軌道 / 離散正則函数 / 4元数対称空間 / 離散変形KdV方程式 / 数理物理 / ヘッケ環 / 単項基底 / quantum spin systems / アフィンヘッケ環 / 量子戸田方程式 / 離散パンルベVI型方程式 / 相転移モデル / split property / coinvariants / quantum froups / Entropy Production / Theory of harmonic maps / Frobenius多様体 / twisted (co) homology / screening作用素 / Takhatajan-Zograf metric / 8一頂点模型 / 非平衡定常状態 / エネルギー関数 / モノドロミ-群 / 合流型超幾何関数 / 局所的な運動の積分 / Haag duality / 差分パンルヴェVI型方程式 / split性 / 離散幾何学 / Fano 多様体 / vertex operators / 量子離散ガルニエ系 / Eisenstein Series / 四元数ケーラー多様体 / infinite dimensional / 積分解 / アフィンリー環 / rational variety / Macdonal多項式 / 量子戸田格子 / functional analysis / fermionic formula / 楕円的量子群 / 低次元 / Quantum Spin Chain / nミニマル / ボーズ・アインシュタイン凝縮 / 運動量写像 / Ricci soliton / ハーグ双対性 / Demazure結晶 / 差分KZ方程式 / マクドナルド多項式 / Gaup-Manin接続 / form factor / ソリトン方程式 / Lagrange部分多様体 Less

可積分系のタウ関数と代数曲線Principal InvestigatorOngoing
- Principal Investigator
  
  中屋敷厚
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Tsuda College
佐藤グラスマンと多変数シグマ関数によるソリトン理論の新展開Principal InvestigatorOngoing
- Principal Investigator
  
  中屋敷厚
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tsuda College
Applied analysis by discrete integrable systems and discrete differential geometry
- Principal Investigator
  
  KAJIWARA Kenji
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyushu University
Difference equations related with higher genus algebraic curvesPrincipal Investigator
- Principal Investigator
  
  NAKAYASHIKI Atsushi
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tsuda College
Representation theoretical aproach to multi-variate elliptic hypergeometric functions
- Principal Investigator
  
  KONNO Hitoshi
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
Fusion of geometry and the theory of integrable systems
- Principal Investigator
  
  MIYAOKA Reiko
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
Correlation functions and form factors of elliptic integrable systems
- Principal Investigator
  
  QUANO Yas-hiro
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Suzuka University of Medical Science
Algebraic Analysis of Infinite Symmetry
- Principal Investigator
  
  KASHIWARA Masaki
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Method of Algebraic Analysis in Mathematical Physics (with the emphasis on Representation Theory, Combinatorics and Complex Analysis)
- Principal Investigator
  
  MIWA Tetsuji
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Cohomologies and symmetries in integrable systemsPrincipal Investigator
- Principal Investigator
  
  NAKAYASHIKI Atsushi
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyushu University
Development and relations between various geometries and integrable systems
- Principal Investigator
  
  MIYAOKA Reiko
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
  Kyushu University
Functional Analysis of Quantum Systems with Infinite Degree ofFir Freedom
- Principal Investigator
  
  MATSUI Taku
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyushu University
Analysis of elliptic integrable systems on the basis of CTM bootstrap approach
- Principal Investigator
  
  QUANO Yas-Hiro
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Suzuka University of Medical Science
From Stability, Riemann-Roch to Non-Abelian Zeta Functions
- Principal Investigator
  
  WENG Lin
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYUSHU UNIVERSITY
Physical Combinatorics
- Principal Investigator
  
  MIWA Tetsuji
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Study of Low Dimensional Quantum Systems with Infinite Degree of Freedom by Non-Commutative Functional Analysis
- Principal Investigator
  
  MATSUI Taku
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyushu University
Algebraic analysis of representation theory
- Principal Investigator
  
  KASHIWARA Masaki
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY, RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES
Geomatric structure of Solvable ModelsPrincipal Investigator
- Principal Investigator
  
  CHO Koji, 中屋敷厚
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYUSHU UNIVERSITY
可解格子模型とそこに現れる特殊関数Principal Investigator
- Principal Investigator
  
  中屋敷厚
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kyushu University
Selbery型積分と超幾何関数の研究
- Principal Investigator
  
  金子譲一
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
Mathematics of Symmetry
- Principal Investigator
  
  MIWA Tetsuji
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
統計力学と場の量子論における可解模型Principal Investigator
- Principal Investigator
  
  中屋敷厚
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kyushu University
統計力学及び場の量子論における可解模型Principal Investigator
- Principal Investigator
  
  中屋敷厚
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
q-Selberg積分の研究
- Principal Investigator
  
  KANEKO Jouichi
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
可解格子模型及び可積分な場の量子論の模型の相関関数Principal Investigator
- Principal Investigator
  
  中屋敷厚
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
線型微分方程式の変形理論とその拡張の研究Principal Investigator
- Principal Investigator
  
  中屋敷厚
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
テーダ関数とその一般化の満たす微分および関数方程式の研究
- Principal Investigator
  
  佐々木武
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kobe University
確率場の解析的研究
- Principal Investigator
  
  樋口保成
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
超幾何微方変程式系の微分幾何的・代数的・解析的研究
- Principal Investigator
  
  SASAKI Takeshi
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kobe University

[Book] K. Iohara et al eds. Symmetries, Integrable Systems and Representations2013
- Author(s)
  A. Nakayashiki and K. Yori
- Total Pages
  162
- Publisher
  Derivatives of Schur, tau and sigma functions on Abel-Jacobi images
- Data Source
  KAKENHI-PROJECT-23340037
[Journal Article] On the expansion coefficients of the KP hierarchy2017
- Author(s)
  Atsushi Nakayashiki, Soichi Okada, Yoko Shigyo
- Journal Title
  
  J. Integrable Syst.
  
  Volume: 2 Pages: 1-23
- DOI
  10.1093/integr/xyx007
- Open Access / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04907, KAKENHI-PROJECT-15K13425
[Journal Article] Tau function approach to theta functions2015
- Author(s)
  Atsushi Nakayashiki
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: rnv297 Pages: 1-47
- DOI
  10.1093/imrn/rnv297
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04907
[Journal Article] Discretization of Baker-Akhiezer modules and commuting difference operators in several discrete variables2013
- Author(s)
  A.Mironov and A.Nakayashiki
- Journal Title
  
  Transactions of the Moscow Mathematical Society
  
  Volume: 2013 Pages: 261-279
- DOI
  10.1090/s0077-1554-2014-00219-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340037
[Journal Article] Derivatives of Schur, tau and sigma functions on Abel-Jacobi images2013
- Author(s)
  Atsushi Nakayashiki and Keijiro Yori
- Journal Title
  
  Springer Proceedings in Mathematics & Statistics
  
  Volume: 40 Pages: 429-462
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540245
[Journal Article] On Addition formulae for sigma functions of telescopic curves2013
- Author(s)
  Takanori Ayano and Atsushi Nakayashiki
- Journal Title
  
  Symmetry, Integrability and Geometry: Methods and Applications
  
  Volume: 9 Pages: 46-59
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540245
[Journal Article] On Addition formulae for sigma functions of telescopic curves2013
- Author(s)
  T.Ayano and A.Nakayashiki
- Journal Title
  
  SIGMA
  
  Volume: 9
- DOI
  10.3842/sigma.2013.046
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340037
[Journal Article] On hyperelliptic abelian functions of genus 32011
- Author(s)
  Atsushi Nakayashiki
- Journal Title
  
  J.Geom.
  
  Volume: (未定,To appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Baker-Akhiezer modules on intersections of shifted theta divisors2011
- Author(s)
  Atsushi Nakayashiki
- Journal Title
  
  Publ.RIMS
  
  Volume: 47(To appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] On hyperelliptic abelian functions of genus 32011
- Author(s)
  A.Nakayashiki
- Journal Title
  
  J.Geom. (To appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] On Algebraic expressions of sigma functions for(n, s)curves2010
- Author(s)
  A.Nakayashiki
- Journal Title
  
  Asian J.Math (To appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] On Algebraic expressions of sigma functions for (n,s) curves2010
- Author(s)
  A.Nakayashiki
- Journal Title
  
  Asian J.Math. 14
  
  Pages: 175-212
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Sigma function as a tau function2010
- Author(s)
  A.Nakayashiki
- Journal Title
  
  Int.Math.Res.Not. 2010-3
  
  Pages: 373-394
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] On Algebraic expressions of sigma functions for (n, s) curves2010
- Author(s)
  Atsushi Nakayashiki
- Journal Title
  
  Asian J.Math.
  
  Volume: 14 Pages: 175-212
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] On the space of KdV fields2009
- Author(s)
  A.Nakayashiki
- Journal Title
  
  Lett.Math.Phys. 89
  
  Pages: 85-100
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] On the space of KdV fields2009
- Author(s)
  A.Nakayashiki
- Journal Title
  
  Int.Lett.Math.Phys. 89
  
  Pages: 85-100
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Differential structure of abelian functions2008
- Author(s)
  Cho, Koji, Nakayashiki, Atsushi
- Journal Title
  
  Internat. J. Math 19, no.2
  
  Pages: 145-171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340038
[Journal Article] Free field approach to solutions of the quantum Knizhnik-Zamolodchikov equations. SIGMA Symmetry Integrability2008
- Author(s)
  Kuroki, Kazunori, Nakayashiki, Atsushi
- Journal Title
  
  Geom Methods Appl 4(049)
  
  Pages: 13-13
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340038
[Journal Article] Differential structure of Abelian functions2008
- Author(s)
  Koji Cho and Atsushi Nakayashiki
- Journal Title
  
  International Journal of Mathematics 19
  
  Pages: 145-171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540231
[Journal Article] Differential structure of Abelian functions2008
- Author(s)
  趙康治、中屋敷厚
- Journal Title
  
  International Journal of Mathematics 19巻
  
  Pages: 145-171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340048
[Journal Article] Free field approach to solutions of the quantum Knizhnik-Zamolodchikov equations2008
- Author(s)
  Kazunori Kuroki and Atsushi Nakayashiki
- Journal Title
  
  Symmetry, Integrability and Geometry ; Methods and Applications 4 049
  
  Pages: 1-13
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540231
[Journal Article] Differential structure of Abelian functions2008
- Author(s)
  A. Nakayashiki
- Journal Title
  
  Int. J. of Math. 19
  
  Pages: 145-171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Differential structure of Abelian functions2008
- Author(s)
  A.Nakayashiki, K.Cho
- Journal Title
  
  Int.J.of Math. 19
  
  Pages: 145-171
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16204007
[Journal Article] Differential structure of abelian functions2008
- Author(s)
  A.Nakayashiki, K.Cho
- Journal Title
  
  Int.J.of Mathematics 19
  
  Pages: 145-171
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16204007
[Journal Article] Differential structure of Abelian functions2008
- Author(s)
  A.Nakayashiki
- Journal Title
  
  Int.J.of Math. 19
  
  Pages: 145-171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Free field approach to solutions of the quantum Knizhnik Zamolodchikov equations2008
- Author(s)
  黒木和憲、中屋敷厚
- Journal Title
  
  Symmetry, Integrability and Geometry : Methods and Applications(電子誌) 4巻、049
  
  Pages: 13-13
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340048
[Journal Article] Differential structure of abelian functions2007
- Author(s)
  A.Nakayashiki et al.
- Journal Title
  
  International Journal of Methematics (To appear)
- Data Source
  KAKENHI-PROJECT-16204007
[Journal Article] The space of local fields as a module over thering of local integrals of motion2004
- Author(s)
  A.Nakayashiki
- Journal Title
  
  International Mathematics Research Notices 52
  
  Pages: 2797-2822
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16204007
[Journal Article] The space of local fields as a module over the ring of local integrals of motion2004
- Author(s)
  A.Nakayashiki
- Journal Title
  
  Int.Math.Res.Not. no.52
  
  Pages: 2797-2822
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340008
[Journal Article] The space of local fields as a module over the ring of local integrals of motion2004
- Author(s)
  A.Nakayashiki
- Journal Title
  
  Int.Math.Res.Not 52
  
  Pages: 2797-2822
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16204007
[Journal Article] The space of local fields as a model over the ring of local integrals of motion.2004
- Author(s)
  Atsushi Nakayashiki
- Journal Title
  
  International Mathematics Research Notices 52
  
  Pages: 2797-2822
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540218
[Journal Article] The space of local fields as a module over the ring of local integrals of motion2004
- Author(s)
  Atsushi Nakayashiki
- Journal Title
  
  International Mathematics Research Notices 52
  
  Pages: 2797-2822
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340008
[Journal Article] The chiral space of local operators in SU(2) invariant Thirring model.2004
- Author(s)
  Atsushi Nakayashiki
- Journal Title
  
  Communications in Mathematical Physics 245
  
  Pages: 279-296
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540218
[Journal Article] The space of local fields as a module over the ring of local integrals of motion2004
- Author(s)
  Atsushi Nakayashiki
- Journal Title
  
  International Mathematics Research Notices 52
  
  Pages: 2797-2822
- Data Source
  KAKENHI-PROJECT-16204007
[Journal Article] The chiral space of local operators in SU(2) invariant Thirring model2004
- Author(s)
  Atsushi Nakayashiki
- Journal Title
  
  Communications in Mathematical 245
  
  Pages: 279-296
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540218
[Journal Article] The chiral space of local operators in ${rm SU}(2)$-invariant Thirring model2004
- Author(s)
  Nakayashiki, Atsushi
- Journal Title
  
  Comm.Math.Phys. 245
  
  Pages: 279-296
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13304010
[Journal Article] The space of local fields as a module over the ring of local integrals of motion2004
- Author(s)
  Atsushi Nakayashiki
- Journal Title
  
  International Mathematics Research Notices 52
  
  Pages: 2797-2822
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540218
[Journal Article] The chiral space of local operators in ${rm SU}(2)$-invariant Thirring mode2004
- Author(s)
  A.Nakayashiki
- Journal Title
  
  Comm.Math.Phys. 245, no.2
  
  Pages: 279-296
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340008
[Journal Article] Residues of q-hypergeometric integrals and characters of affine Lie algebras2003
- Author(s)
  Atsushi Nakayashiki
- Journal Title
  
  Communications in Mathematical 240
  
  Pages: 197-241
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540218
[Journal Article] Residues of q-hypergeometric integrals and characters of affine Lie algebras.2003
- Author(s)
  Atsushi Nakayashiki
- Journal Title
  
  Communications in Mathematical Physics 240
  
  Pages: 197-241
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540218
[Journal Article] Residues of $q$-hypergeometric integrals and characters of affine Lie algebras2003
- Author(s)
  A.Nakayashiki
- Journal Title
  
  Comm.Math.Phys. 240, no.1-2
  
  Pages: 197-241
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340008
[Journal Article] Euler characteristics of theta divisors of Jacobians for spectral curves.2002
- Author(s)
  A.Nakayashiki, F.Smirnov
- Journal Title
  
  The Kowalevski property (Leeds, 2000), CRM Proc.Lecture Notes, Amer.Math.Soc., Providence, RI 32
  
  Pages: 239-246
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340008
[Journal Article] On the cohomology of theta divisors of hyperelliptic Jacobians. Integrable systems,2002
- Author(s)
  A.Nakayashiki
- Journal Title
  
  topology, and physics (Tokyo, 2000), Contemp.Math., Amer.Math.Soc., Providence, RI, 2002. 309
  
  Pages: 177-183
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340008
[Journal Article] On form factors of the ${rm SU}(2)$ invariant Thirring model2002
- Author(s)
  A.Nakayashiki, Y.Takeyama
- Journal Title
  
  MathPhys odyssey, 2001, Prog.Math.Phys., Birkhueser Boston, Boston, MA 23
  
  Pages: 357-390
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340008
[Journal Article] Complete solutions to the form factor equations of SU(2) invariant Thirring model
- Author(s)
  Atsushi Nakayashiki
- Journal Title
  
  Proceeding of 10th International Congress of Mathematical Physics (University of Lisbon, Portugal) (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540218
[Presentation] Solutions of the KP-hierarchy corresponding to degenerate trigonal curves2017
- Author(s)
  Atsushi Nakayashiki
- Organizer
  Physics and Mathematics of Nonlinear Phenomena, 50 years of I.S.T.
- Data Source
  KAKENHI-PROJECT-15K04907
[Presentation] Degeneration of trigonal curves and corresponding solutions of the KP-hierarchy2017
- Author(s)
  Atsushi Nakayashiki
- Organizer
  Workshop on Calabi-Yau manifolds, Arithmetic, Geometry and Physics
- Data Source
  KAKENHI-PROJECT-15K04907
[Presentation] 特異有理曲線から構成されるKP階層の解について2016
- Author(s)
  中屋敷　厚
- Organizer
  可積分系数理の現状と展望
- Place of Presentation
  京都大学
- Year and Date
  2016-09-05
- Invited
- Data Source
  KAKENHI-PROJECT-15K04907
[Presentation] On the character formula of the D-module associated to KdV hierarchy2016
- Author(s)
  Atsushi Nakayashiki
- Organizer
  KIAS workshop on integrable systems and related topics
- Place of Presentation
  Korea Institute for Advanced Study, Seoul, Korea
- Year and Date
  2016-06-21
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-15K04907
[Presentation] Singular rational curves and solutions of the KP hierarchy2016
- Author(s)
  Atsushi Nakayashiki
- Organizer
  Infinite Analysis 16 Summer School, Integrable Hierarchies and Beyond
- Place of Presentation
  Nagoya University
- Year and Date
  2016-08-29
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-15K04907
[Presentation] On series expansions of higher genus sigma functions2015
- Author(s)
  A.Nakayashiki
- Organizer
  Curves, Moduli and Integrable Systems
- Place of Presentation
  津田塾大学
- Year and Date
  2015-02-17
- Invited
- Data Source
  KAKENHI-PROJECT-23340037
[Presentation] On a combinatorial structure of some D-modules on Abelian varieties2015
- Author(s)
  Atsushi Nakayashiki
- Organizer
  Tsuda College Mini-Workshop on Calabi Yau varieties:Arithmetic Geometry and Physics
- Place of Presentation
  Tsuda College
- Year and Date
  2015-08-05
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-15K04907
[Presentation] Character formulae of some D-modules on hyperelliptic Jacobians2015
- Author(s)
  Atsushi Nakayashiki
- Organizer
  Geometry Days in Novosibirsk
- Place of Presentation
  Sobolev Institute of Mathematics, Novosibirsk,Russia
- Year and Date
  2015-08-26
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-15K04907
[Presentation] リーマンの特異点定理の精密化について2014
- Author(s)
  中屋敷厚
- Organizer
  リーマン面に関係する位相幾何学
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2014-08-26
- Invited
- Data Source
  KAKENHI-PROJECT-23340037
[Presentation] An application of the theory of tau function to Riemann's theta function2014
- Author(s)
  A.Nakayashiki
- Organizer
  Algebraic Curves with Symmetries, Their Jacobians and Integrable Dynamical Systems
- Place of Presentation
  National University of Kyiv-Mohyla Academy, Kiev, Ukraine
- Year and Date
  2014-07-31
- Invited
- Data Source
  KAKENHI-PROJECT-23340037
[Presentation] 可積分系のテータ関数解2014
- Author(s)
  中屋敷厚
- Organizer
  離散可積分系・離散微分幾何チュートリアル2014
- Place of Presentation
  九州大学マス・フォア・インダストリ研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23340037
[Presentation] An application of the theory of tau function to Riemann's theta function2014
- Author(s)
  A.Nakayashiki
- Organizer
  Tsuda College mini-workshop on Calabi Yau varieties: Arithmetic Geometry and Physics
- Place of Presentation
  津田塾大学
- Year and Date
  2014-08-08
- Data Source
  KAKENHI-PROJECT-23340037
[Presentation] A Refined Riemann's singularity theorem for sigma functions2013
- Author(s)
  Atsushi Nakayashiki
- Organizer
  Algebraic topology and Abelian functions
- Place of Presentation
  Steklov Institute, Moscow, Russia
- Invited
- Data Source
  KAKENHI-PROJECT-23540245
[Presentation] A refined Riemann's singularity theorem for sigma functions2013
- Author(s)
  A.Nakayashiki
- Organizer
  Algebraic Topology and Abelian Functions
- Place of Presentation
  Steklov Institute, Moscow, Russia
- Invited
- Data Source
  KAKENHI-PROJECT-23340037
[Presentation] リーマン面のシューア関数2013
- Author(s)
  中屋敷　厚
- Organizer
  玉原特殊多様体研究集会
- Place of Presentation
  東京大学玉原セミナーハウス
- Data Source
  KAKENHI-PROJECT-23540245
[Presentation] リーマン面のシューア関数2013
- Author(s)
  中屋敷厚
- Organizer
  玉原特殊多様体研究集会
- Place of Presentation
  東京大学玉原セミナーハウス
- Data Source
  KAKENHI-PROJECT-23340037
[Presentation] Riemann surfaces and Schur functions2013
- Author(s)
  A.Nakayashiki
- Organizer
  String theory, Integrable systems and Representation Theory
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23340037
[Presentation] Riemann surfaces and Schur functions2013
- Author(s)
  A.Nakayashiki
- Organizer
  Geometry day
- Place of Presentation
  Sobolev Institute, Novosibirsk, Russia
- Invited
- Data Source
  KAKENHI-PROJECT-23340037
[Presentation] Riemann surfaces and Schur functions2013
- Author(s)
  Atsushi Nakayashiki
- Organizer
  String theory, Integrable Systems and Representation theory
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23540245
[Presentation] Riemann surfaces and Schur functions2013
- Author(s)
  Atsushi 　Nakayashiki
- Organizer
  Geometry Days in Novosibirsk
- Place of Presentation
  Sobolev Institute of Mathematics、Novosibirsk,Russia
- Invited
- Data Source
  KAKENHI-PROJECT-23540245
[Presentation] The prime form as a derivative of sigma function2012
- Author(s)
  中屋敷　厚
- Organizer
  International Conference on Jacobian varieties, Abelian functions, and Kummer surfaces(招待講演)
- Place of Presentation
  山梨大学
- Data Source
  KAKENHI-PROJECT-23540245
[Presentation] Construction of quasi-periodic solutions of soliton equations2012
- Author(s)
  中屋敷厚
- Organizer
  離散可積分系・離散微分幾何チュートリアル2012
- Place of Presentation
  九州大学(福岡)(招待講演)
- Year and Date
  2012-02-23
- Data Source
  KAKENHI-PROJECT-23340037
[Presentation] 多変数シグマ関数入門2012
- Author(s)
  中屋敷厚
- Organizer
  神戸大学集中講義
- Place of Presentation
  神戸大学
- Invited
- Data Source
  KAKENHI-PROJECT-23340037
[Presentation] Abel-Jacobi map and Schur functions2011
- Author(s)
  中屋敷　厚
- Organizer
  Symmetries, Integrable Systems and Representations(招待講演)
- Place of Presentation
  リヨン大学、フランス
- Data Source
  KAKENHI-PROJECT-23540245
[Presentation] Abel-Jacobi map and Schur functions2011
- Author(s)
  Atsushi Nakayashiki
- Organizer
  Symmetries, Integrable Systems and Representations
- Place of Presentation
  リヨン大学(フランス)
- Year and Date
  2011-12-13
- Data Source
  KAKENHI-PROJECT-23340037
[Presentation] Modular invariant tau functions of the KP-hierarchy2008
- Author(s)
  中屋敷厚
- Organizer
  研究会「テータ関数と可積分系」
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-17340048
[Presentation] Modular invariant tau functions of the KP-hierarchy2008
- Author(s)
  中屋敷厚
- Organizer
  研究会「テータ関数と可積分系」
- Place of Presentation
  九州大学
- Year and Date
  2008-12-21
- Data Source
  KAKENHI-PROJECT-19540231
[Presentation] Expressions of theta functions in terms of prime form and their applications2008
- Author(s)
  中屋敷厚
- Organizer
  研究セミナー「Concrete theory of Abelian functions and its applications」
- Place of Presentation
  岩手大学
- Year and Date
  2008-07-20
- Data Source
  KAKENHI-PROJECT-19540231
[Presentation] Mudular invariant tau functions of the KP-hierarchy2008
- Author(s)
  中屋敷厚
- Organizer
  ワークショップ「データ関数と可積分系」
- Place of Presentation
  九州大学
- Year and Date
  2008-12-21
- Data Source
  KAKENHI-PROJECT-17340048
[Presentation] Expressions of theta functions in terms of prime form and their applications2008
- Author(s)
  中屋敷厚
- Organizer
  セミナー「Concrete theory of Abelian functions and its applications」
- Place of Presentation
  岩手大学
- Data Source
  KAKENHI-PROJECT-17340048
[Presentation] Fayの公式の退化2007
- Author(s)
  中屋敷厚
- Organizer
  日本数学会年会
- Place of Presentation
  埼玉大学
- Data Source
  KAKENHI-PROJECT-17340048
[Presentation] 多変数シグマ関数の代数的表示2007
- Author(s)
  中屋敷厚
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Data Source
  KAKENHI-PROJECT-17340048
[Presentation] 多変数シグマ関数の代数的表示2007
- Author(s)
  中屋敷厚
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-19540231
[Presentation] シグマ関数の代数的表示2007
- Author(s)
  中屋敷厚
- Organizer
  整数論サマースクール「種数の高い代数曲線とアーベル多様体」
- Place of Presentation
  大沢温泉、花巻、岩手
- Data Source
  KAKENHI-PROJECT-17340048
[Presentation] テータ関数の微分構造2006
- Author(s)
  中屋敷厚
- Organizer
  筑波大学談話会
- Place of Presentation
  筑波大学
- Data Source
  KAKENHI-PROJECT-17340048
[Presentation] Abelian functions as a D-module2006
- Author(s)
  中屋敷厚
- Organizer
  研究会「Methods of Integrable SystemsIn Geometry」
- Place of Presentation
  University of Durham、UK
- Data Source
  KAKENHI-PROJECT-17340048
[Presentation] Differential structure of Abelian functions2005
- Author(s)
  中屋敷厚
- Organizer
  研究会「Geometry and Abelian functions」
- Place of Presentation
  首都大学東京
- Data Source
  KAKENHI-PROJECT-17340048
[Presentation] On series expansions of higher genus sigma functions
- Author(s)
  Atsushi Nakayashiki
- Organizer
  workshop on 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-23540245
[Presentation] An application of the theory of tau function to Riemann's theta function
- Author(s)
  Atsushi Nakayashiki
- Organizer
  Tsuda College mini-workshop on Calabi Yau varieties: Arithmetic Geometry and Physics
- Place of Presentation
  津田塾大学
- Year and Date
  2014-08-07 – 2014-08-08
- Data Source
  KAKENHI-PROJECT-23540245
[Presentation] リーマンの特異点定理の精密化について
- Author(s)
  中屋敷　厚
- Organizer
  研究会「リーマン面に関係する位相幾何学」
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2014-08-25 – 2014-08-29
- Invited
- Data Source
  KAKENHI-PROJECT-23540245
[Presentation] An application of the theory of tau function to Riemann's theta function
- Author(s)
  Atsushi Nakayashiki
- Organizer
  workshop on Algebraic Curves with Symmetries, Their Jacobians and Integrable Dynamical Systems
- Place of Presentation
  National University of Kyiv-Mohyla Academy, Kiev, Ukraine
- Year and Date
  2014-07-30 – 2014-08-01
- Invited
- Data Source
  KAKENHI-PROJECT-23540245

1. KANEKO Jouichi (10194911)

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47. TAMARU Hiroshi (50306982)

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# of Collaborated Products: 0 results
48. FUJIOKA Atsushi (30293335)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
49. NISHINOU Takeo (50420394)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
50. NOUMI Masatoshi (80164672)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
51. OSHIMA Kazuyuki (30547980)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
52. INOGUCHI Jun-ichi (40309886)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
54. OHTA Yasuhiro (10213745)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
55. ONISHI Yoshihiro (60250643)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
56. KUNIBA Atsuo (70211886)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
57. NISHIYAMA Kyo (70183085)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
58. GYOJA Akihiko (50116026)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
59. OKADA Soichi (20224016)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
60. KUROKI Gen (10234593)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
61. KOSAKI Hideki (20186612)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
62. OOYAMA Yosuke (10221839)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
63. WENG Lin (60304002)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
64. KOBAYASHI Ryoichi (20162034)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
65. TASAKI Shuichi (10260150)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
66. HIROKAWA Masako (70282788)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
67. UEDA Yoshimichi (00314724)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
68. HIROSHIMA Fumio (00330358)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
69. 味村良雄 (80034718)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
70. 杉田洋 (50192125)

# of Collaborated Projects: 1 results

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71. 山口忠志 (80037225)

# of Collaborated Projects: 1 results

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72. 加藤久子 (00038457)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
73. 中尾慎宏 (10037278)

# of Collaborated Projects: 1 results

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74. 山田泰彦 (00202383)

# of Collaborated Projects: 1 results

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75. 梁成吉 (70201118)

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76. 寺田至 (70180081)

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77. 小池和彦 (70146306)

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78. 山田裕史 (40192794)

# of Collaborated Projects: 1 results

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79. 織田孝幸 (10109415)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
80. 渡辺文彦 (20274433)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
81. プガイヤロスラフ (00311738)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
82. 高山茂晴 (20284333)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
83. 増田俊彦 (60314978)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

NAKAYASHIKI Atsushi 中屋敷 厚

中屋敷 厚 ナカヤシキ アツシ

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可積分系のタウ関数と代数曲線Principal InvestigatorOngoing

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佐藤グラスマンと多変数シグマ関数によるソリトン理論の新展開Principal InvestigatorOngoing

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Difference equations related with higher genus algebraic curvesPrincipal Investigator

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Cohomologies and symmetries in integrable systemsPrincipal Investigator

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NAKAYASHIKI Atsushi 中屋敷厚

中屋敷厚ナカヤシキアツシ