ODA Takayuki 織田孝幸

… Alternative Names

織田孝幸オダタカユキ

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Researcher Number	10109415
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2016: 沖縄科学技術大学院大学, 教授 2011 – 2014: 東京大学, 数理(科)学研究科(研究院), 教授 2013: 東京大学, 数理科学研究科, 教授 2012: 東京大学, 大学院・数理科学研究科, 教授 1994 – 2010: 東京大学, 大学院・数理科学研究科, 教授 … More 2005 – 2006: 東京大学, 大学院数理科学研究科, 教授 1997: University of Tokyo Professor, 大学院数理科学研究科, 教授 1991 – 1993: 京都大学, 数理解析研究所, 助教授 1992: 京都大学, 数理研, 助教授 1988 – 1989: 東京大学, 理学部, 助教授 Less
Review Section/Research Field	Principal Investigator Algebra / 代数学・幾何学 / Algebra Except Principal Investigator Algebra / Algebra / 代数学・幾何学 / Geometry / Basic analysis / 解析学 / Basic analysis
Keywords	Principal Investigator 球関数 / 不連続群 / 保型形式 / ガロア表現 / モジュライ空間 / L-関数 / automorphic forms / spherical functions / Automorphic forms / modular forms … More / Green currents / Spherical functions / L関数 / 基本群 / モジュライ / moduli space / Whittaker関数 / 超幾何関数 / 調和解析 / 特殊関数 / モジュラー形式 / L-functions / Green functions / Whittaker functions / modular cycle / モジュラ-形式 / ホッジ構造 / 組み紐群 / タイヒミュラ-群 / フェルマ-多様体 / モノドロミ- / fundamental group / braid group / Teichmiiller group / mopping class group / Whittaker model / mapping dass gronp / Teichniiller group / Braid group / Whittaker模型 / 戸田格子 / モジライ空間 / タイヒミュラー群 / 写像類群 / 離散系列表現 / 可積分系 / automorphic forms,球関数 / spherical functions, Whittaker関数 / Whittaker functions,モジュラー多様体 / modular varieties,不連続群 / discrete subgroups / 級関数 / 行列係数 / ホッヂ構造 / Picardモジュラー形式 / moduli spaces / spherical functions on Lie groups / Whittaker function / discrete series / fundamental domain / hypergeometric functions / 保型型式 / Lie群上の球関数 / 多変数超幾何関数 / 跡公式 / L-function / harmonic analysis / L^^<エル>関数 / Modular forms / Special functions / modular cycles / locally symmetric spaces / Automorhic forms … More Except Principal Investigator 代数多様体 / 極小モデル / 超幾何関数 / 保型形式 / 量子群 / 標準因子 / フリップ / 表現論 / 対称空間 / 代数曲線 / 基本群 / 等質空間 / エタール・コホモロジー / 退化系列表現 / 導来圏 / 整数論 / ゼータ関数 / 次元公式 / 藤田予想 / 完全積分可能系 / 消滅定理 / 共形場理論 / タイヒミュラー群 / ガロア表現 / 組糸群 / P進Hodge理論 / 安定還元定理 / Capelli恒等式 / 球函数 / 不変微分方程式 / p進Hodge理論 / 写像類群 / テータ関数 / 絶対ガロア群 / グラスマン多様体 / 単因子 / 連接層 / 半正値性定理 / フロップ / スタック / トーリック多様体 / 跡公式 / アーベル多様体 / ジーゲル保型形式 / 超特異アーベル多様体 / ヤコービ形式 / L関数 / 微分作用素 / 特殊関数 / モジュライ / 志村対応 / 代数解析 / 積分幾何 / ルート系 / 確定特異点 / エルミート定数 / 固定点自由化定理 / 小平次元 / 標準特異点 / representation theory / ポアソン変換 / 半単純リー群 / 超幾何微分方程式 / Poisson transform / 導手 / conductor / ホッジ構造 / algebraic variety / flip / Verma加群 / 普遍包絡環 / primitive ideal / 数論的代数幾何学 / モジュライ空間 / 可解格子模型 / 種数 / タイヒミュラー空間 / 数論的曲面 / 局所表現 / Tate予想 / p進コホモロジー群 / Hasse-Weil L関数 / 局所と因子 / 周期積分 / tame symbol / 完全積分可能 / 量子系 / 局所体上の代数多様体 / l進コホモロジー / 保型形式とl進表現 / p進Hoclse理論 / モジュラー曲線 / ガロワ表現 / Vassiliev不変量 / 多重ゼータ関数 / Hodge理論 / 反復積分 / 組みひも群 / ドリンフェルトアソシエータ / モノドロミー表現 / 有限型位相不変量 / KZ方程式 / セルバーグ積分 / ラドン変換 / 原始イデアル / 代数的ファイバー空間 / 半直交分解 / 極小モデル・プログラム / 単純特異点 / カラビヤウ多様体 / 混合ホッジ構造 / 標準環 / 境界因子 / 対数対 / 巨大因子 / 端射線 / termination / abundance / difficulty / 代数的フアイバー空間 / 2次形式 / セルバーグ跡公式 / ホロノミー系 / ラングランズ予想 / 半整数ウェイト / 超特異 / Harder予想 / Langlands予想 / 球関数 / ベクトル値保型形式 / 常微分方程式 / Kac-Moodyルート系 / 国際研究者交流 / 多国籍 / モノドロミー / 接続係数 / リフティング / 合同 / 特殊関数論 / 保型形式の合同 / L 関数の特殊値 / 数論 / アデール群 / 簡約理論 / 代数群 / ボロノイアルゴリズム / リシュコフ多面体 / 算術的商空間 / 数論的離散群 / 新谷の単数定理 / 分類理論 / ガロア群 / モノドロミ-群 / インデックス / 表現 / リ-マン面 / 代表曲面 / 組み糸群 / モノドロミ-表現 / GaIois group / Monodromy group / Index / 対数的標準特異点 / カラビ・ヤウ / ミラー対称性 / 数値的同値 / 豊富因子の錘体 / 可動因子 / 射影多様体 / 因子 / 固定点 / 有理特異点 / 安定曲線 / Calabi-Yau / higher dimensional algebraic varieties / numerical geometry / divisors / intersection numbers / cones / Fujita conjectures / Mirror synmetriy / 有限表示群 / 微分同相群 / 極限集合 / 力学系 / 無限変換群 / 多様体 / カラビ不変量 / 保測変換 / finitely presented groups / diffeomorphism groups / limit sets / dynamical systems / infinite transformation groups / manifolds / the Calabi invariant / リーマン面 / モデュライ空間 / トレリ群 / リーマン面の族 / モノドロミ- / ジョンソン準同型 / Riemann surface / moduli space / mapping class group / Torelli group / family of Riemann surfaces / monodromy / absolute Galois group / Johnson homomorphism / 可解模型 / 組み合わせ論 / 組み合せ論 / アフィンリー環 / 量子郡 / 特殊凾数 / quantum groups / solvable models / combinatorics / 可積分系 / 超幾何函数 / 不変微分作用素 / homogenneous space / invariant differential equations / spherical function / integrable system / semisimple Lie group / hypergeometric function / 多重標準形式 / 対数的多重標準形式 / 乗数イデアル層 / 変形族 / 多重種数 / ホッジ理論 / 半正値性 / カラビ・ヤウ多様体 / alsebraic variety / pluricanonical form / Kodaira dimension / logarithmic form / multiplier ideal / canonical singularity / deformation / plurigenus / Hilbert保型形式 / Langlands対応 / Galois表現 / 志村曲線 / Stiefel-Whitney類 / Hilbert 保型形式 / Langlands 対応 / Galois 表現 / エチールコホモロジー / Hilbert modular form / Langlands correspondence / Galois representations / Shimura curves / p-adic Hodge theory / etale cohomology / Stiefel-Whitney class / アイゼンシュタイン級数 / 概均質ベクトル空間 / 算術的 / アイロンシュタイン整数 / ディリクレ級数 / 伴型形式 / 概均質ペクトル空間 / アイゼンシスタイン釈数 / ディリクレ波数 / Automorphic forms / Zeta function / number theory / Eisenstein series / prehomogeneous vector spaces / arithmetic / L-function / dimension formula / 実簡約群 / ユニタリ表現 / 退化系列 / derived functor module / 既約ユニタリ表現 / 分岐則 / ホイタッカーモデル / real reductive Lie groups / Unitary representations / degenerate series / derived functor modules / 非消滅定理 / 極小多様体 / 対数的標準因子 / 特異点 / 層 / オービフォルド / 可逆層 / KLT / 非消滅予想 / 線型系 / non-vanishing theorem / minimal variet / semipositivity theorem / Fujita conjecture / log canonical divisor / vanishing theorem / ハセ・ゼータ関数 / 岩澤理論 / BSD予想 / log幾何 / Birch Swinnerton-Dyer予想 / Hodge構造 / log代数多様体 / 退化 / 導手公式 / SL(2)-orbit / 代数体 / 微分加群 / 対数的アーベル多様体 / コンパクト化 / リーマン・ヒルベルト対応 / Harse zeta function / moduler forms / Iwasawa theory / abelian variety / BSD conjecture / log geometry / Hardy空間 / Radon変換 / c-函数 / 最小多項式 / Verma 加群 / 量子化 / 完約リー環 / symmetric space / Verma module / Hardy space / completely integrable system / Radon transform / unversal enveloping algebra / 双有理 / 極小モデル理論 / 双有理幾何学 / 双有理同値 / K同値 / D同値 / minimal model / derived category / birational / toric variety / stack / flop / 微分方程式 / Whittaker関数 / Lie群 / 解析学 / 不確定特異点 / 境界値問題 / 完全積分可能量子系 / Whittaker模型 / Whittakerモデル / Calogeo-Moser系 / 戸田系 / ベキ零軌道 / Differential equation / Representation theory / Completely integrable system / Hypergeometric function / Integral geometry / Regular singularities / Whittaker function / Lie group / 基本領域 / ジーゲル上半空間 / 最小ベクトル / キス数 / 球充填問題 / 格子 / シンプレクティック格子 / ランキン定数 / 完全行列 / シンプレクティック群 Less

Computation of boundary components of fundamental domains of symmetric cones and its application
- Principal Investigator
  
  Hayata Takahiro
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yamagata University
Arithmetic study of automorphic forms of many variables by various methodPrincipal Investigator
- Principal Investigator
  
  ODA Takayuki
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Construction of Voronoi theory over adele groups
- Principal Investigator
  
  WATANABE Takao
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Explicit study of arithmetic structures of automorphic forms of several variables and trace formulas
- Principal Investigator
  
  IBUKIYAMA Tomoyoshi
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Study of group representation and differential equations associated with root systems and its applications
- Principal Investigator
  
  OSHIMA Toshio
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Analysis, geometry and arithmetic of automorphic forms of many variables and higher dimensional modular varietiesPrincipal Investigator
- Principal Investigator
  
  ODA Takayuki
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Research on canonical divisors of higher dimensional algebraic varietie
- Principal Investigator
  
  KAWAMATA Yujiro
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Explicit Study of Automorphic Forms of Several Variables and Algebraic and Geometric Invariants
- Principal Investigator
  
  IBUKIYAMA Tomoyoshi
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Systems of differential equations with group actions and their applications
- Principal Investigator
  
  OSHIMA Toshio
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Research on canonical divisors of higher dimensional algebraic varieties
- Principal Investigator
  
  KAWAMUTA Yujiro
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Constructive geometry of arithmetic quotients of symmetric spacesPrincipal Investigator
- Principal Investigator
  
  ODA Takayuki
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Systems of differential equations attached to representations of Lie groups
- Principal Investigator
  
  OSHIMA Toshio
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
算術的代数解析の試み:多変数超幾何関数の整数論的研究Principal Investigator
- Principal Investigator
  
  織田孝幸
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
共形場理論におけるモノドロミーのガロア表現への応用
- Principal Investigator
  
  KOHNO Toshitake
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
リー群の表現の退化と超幾何関数の一般化
- Principal Investigator
  
  大島利雄
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Research on log canonical divisors on higher dimensional algebraic varieties
- Principal Investigator
  
  KAWAMATA Yujiro
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Iwasawa theory of Harse zeta functions
- Principal Investigator
  
  KATO Kazuya
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
  The University of Tokyo
Theory of automorphic forms and arithmetic into functions
- Principal Investigator
  
  IBUKIYAMA Tomoyashi
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Representations of real reductive Lie groups
- Principal Investigator
  
  MATUMOTO Hisayosi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
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
Arithmetic of automorphic forms of many variable : reconstruction of the foundationPrincipal Investigator
- Principal Investigator
  
  ODA Takayuki
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Differential equations on homogeneous spaces
- Principal Investigator
  
  OSHIMA Toshio
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  University of Tokyo
Studies on Hodge Theory and Hypergeometric Functions
- Principal Investigator
  
  KAWAMATA Yujiro
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  THE UNIVERASITY OF TOKYO
Arithmetic of algebraic varieties
- Principal Investigator
  
  SAITO Takeshi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tokyo
モジュライ空間と不連続群の数論Principal Investigator
- Principal Investigator
  
  織田孝幸
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
代数多様体の数論の研究
- Principal Investigator
  
  斎藤毅
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
STUDY OF MODULI SPACE OF RIEMANN SURFACES
- Principal Investigator
  
  MORITA Shigeyuki
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  University of Tokyo
完全積分可能な量子系
- Principal Investigator
  
  OSHIMA Toshio
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  The University of Tokyo
モジェライ空間と不連続群の整数論的研究Principal Investigator
- Principal Investigator
  
  織田孝幸
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
代数多様体の数論の研究
- Principal Investigator
  
  齋藤毅
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
等質空間上の微分方程式系
- Principal Investigator
  
  大島利雄
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  The University of Tokyo
L-function of automorphic forms of many variables, Selberg trace fromula, and related harmonic analysis.Principal Investigator
- Principal Investigator
  
  ODA Takayuki
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  the University of Tokyo
Research of higher dinendional algebraic varaieties
- Principal Investigator
  
  KAWAMATA Yujiro
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  the University of Tokyo
STUDY ON INFINITE TRANSFORMATION GROUPS ON MANIFOLDS
- Principal Investigator
  
  TSUBOI Takashi
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  THE UNIVERSITY OF TOKYO
代数多様体の数論の研究
- Principal Investigator
  
  SAITO Takeshi
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
モデュラー多様体と不連続群の整数論Principal Investigator
- Principal Investigator
  
  織田孝幸
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
数論的基本群
- Principal Investigator
  
  伊原康隆
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
モジュラー多様体と不連続群の整数論Principal Investigator
- Principal Investigator
  
  織田孝幸
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
モジュラー多様体の数論的及び代数幾何的研究Principal Investigator
- Principal Investigator
  
  織田孝幸
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kyoto University
数理物理学への応用を見込んだ代数幾何学の国際共同研究
- Principal Investigator
  
  UENO Kenji
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Co-operative Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University
ガロア群、組み糸郡及び数論的関数の綜合的研究
- Principal Investigator
  
  伊原康隆
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University
モジュラー多様体と不連続群の整数論Principal Investigator
- Principal Investigator
  
  織田孝幸
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University
モジュライ空間とその不連続群の整数論Principal Investigator
- Principal Investigator
  
  織田孝幸
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University
不連続群および保型形式の整数論Principal Investigator
- Principal Investigator
  
  織田孝幸
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  The University of Tokyo
Comparative Study of Various Fundamental Groups and Their Structure in Arithmetic and Topology
- Principal Investigator
  
  KAWAMATA Yujiro
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  University of Tokyo
高次元多様体のminimal modelの研究
- Principal Investigator
  
  川又雄二郎
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  The University of Tokyo

All 2014 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 Other

All Journal Article Presentation Book

[Book] Automorphic forms, research in Number Theory from Oman2014
- Author(s)
  Takayuki Oda
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-23244003
[Journal Article] Calculus of principal series Whittaker functions on SL(n,R).2014
- Author(s)
  Ishii, Taku; Oda, Takayuki
- Journal Title
  
  J. Funct. Anal.
  
  Volume: 266 Issue: 3 Pages: 1286-1372
- DOI
  10.1016/j.jfa.2013.11.020
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23244003, KAKENHI-PROJECT-24740025
[Journal Article] Cohomology of Siegel modular varieties of genus 2 and corresponding automprphic forms, In "Geometry and analysis of automorphic forms of several Varaibles", ed. by Y. Hamahata, T. Ichikawa, A. Murase and T. Sugano, Number Theory and Its Applications2012
- Author(s)
  T. Oda
- Journal Title
  
  World Scientific
  
  Volume: 7巻 Pages: 211-254
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540016
[Journal Article] Zero cells of the Siegel-Gottschling fundamental domain of degree 22012
- Author(s)
  Takahiro Hayata, T.Oda, Tomoki
- Journal Title
  
  Experimental Math
  
  Volume: (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Zero Cells of the Siegel-Gottschling Fundamental Domain of Degree 22012
- Author(s)
  Takahiro Hayata
- Journal Title
  
  Experimental Mathematics,
  
  Volume: 21(3) Issue: 3 Pages: 266-279
- DOI
  10.1080/10586458.2012.653273
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23244003, KAKENHI-PROJECT-23540016
[Journal Article] Matrix coefficients of the middle discrete series of SU(2,2)2010
- Author(s)
  早田孝博・古関春隆・織田孝幸
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 259 Pages: 301-307
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Matrix coefficients of the middle discrete series of SU(2, 2)2010
- Author(s)
  T. Hayata(早田孝博), Harutaka Koseki(古関春隆) and T. Oda
- Journal Title
  
  J. of Funct. Analysis
  
  Volume: vol.259 Pages: 301-307
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Matrix coefficients of the middle discrete series of SU (2,2)2010
- Author(s)
  T. Hayata, H. Koseki, T. Oda
- Journal Title
  
  J.of Funt.Analysis (To appear in)
  
  Pages: 10-10
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Calculus of principal series Whittaker functions on GL(3, C)2009
- Author(s)
  M. Hirano and T. Oda
- Journal Title
  
  J. Funct. Analysis 256
  
  Pages: 2222-2267
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17204002
[Journal Article] On mixed Hodge structures of Shimura varieties attached to inner forms of the symplectic group of degree two2009
- Author(s)
  T.Oda, Joachim Schwermer
- Journal Title
  
  Tohoku Math.J.(2)
  
  Volume: 61 Pages: 83-113
- NAID
  110007031055
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Calculus of principal series Whittaker functions on GL(3, C)2009
- Author(s)
  Miki Hirano(平野幹) and T. Oda
- Journal Title
  
  J. Funct. Analysis
  
  Volume: 256 Pages: 2222-2267
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Calculus of principal series Whittaker functions on G(3,C)2009
- Author(s)
  M. Hirano, T. Oda
- Journal Title
  
  J.of Func.Anslysis 256
  
  Pages: 2222-2267
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Exact power series in the asymptotic expansion of matrix coefficinets with the corner K-typeof P_j principal series represenations of Sp(2,R)2009
- Author(s)
  飯田正敏・織田孝幸
- Journal Title
  
  Journal of Mathematical Sciences, the Univ.of Tokyo
  
  Volume: 15 Pages: 512-543
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] On mixed Hodge structures of Shimura varieties attached to inner forms of the symplectic group of degree two2009
- Author(s)
  T. Oda, J. Schwermer
- Journal Title
  
  Tohoku Journal of Math. (掲載確定)
- NAID
  110007031055
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] On mixed Hodge structures of Shimura varieties attached to inner forms of the symplectic group of degree two2009
- Author(s)
  T. Oda and J. Schwemer
- Journal Title
  
  Tohoku Math. J.(2)
  
  Volume: 61 Pages: 83-113
- NAID
  110007031055
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] The secondary spherical functions and Green currents associtaed with symmetric pairs2009
- Author(s)
  Oda, T., TSZUKI, Masao
- Journal Title
  
  RIMS Kokyuroku Bessatsu B7
  
  Pages: 121-135
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] The secondary spherical functions and Green currents associated with symmetric pairs2009
- Author(s)
  T. Oda, M. Tsuzuki
- Journal Title
  
  Pure and appl.Math.Quarterly 5
  
  Pages: 977-1028
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] On mixed Hodge structure of Shimura varieties attached to inner forms of the symplectic group of degree 22009
- Author(s)
  T. Oda, J. Schwermer
- Journal Title
  
  Tohoku Math., J. (2)61
  
  Pages: 83-113
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Exact power series in the asymptotic expansion of the matrix coefficients with the corner K-type of P_J-principal series representations of Sp(2, R)2009
- Author(s)
  Masatoshi Iida(飯田正敏) and T. Oda
- Journal Title
  
  J. of Math. Sci.
  
  Volume: 15 Pages: 512-543
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Hecke-Siegel'spull-back formula for the Epstein zetafunction with harmonic polynomial2008
- Author(s)
  T. Oda and K. Hiroe
- Journal Title
  
  J.Number Theory 128
  
  Pages: 835-857
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17204002
[Journal Article] The secondary spherical functions and Green currents associated with symmetric pairs(announcement of results)2008
- Author(s)
  T. Oda and M. Tsuzuki(都築正男)
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B7 Pages: 121-135
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Hecke-Siegel pull-back formula for the Epstein zeta function with harmonic poy7nomial2008
- Author(s)
  T. Oda and Kazuki Hiroe(廣恵一希)
- Journal Title
  
  J. Number Theory
  
  Volume: 128 Pages: 835-857
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Whittaker functions for P_J-principal series representations of Sp(3,R).2007
- Author(s)
  M. Hirano, T. Ishii and T. Oda
- Journal Title
  
  Adv. Math. 215
  
  Pages: 743-765
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17204002
[Journal Article] Whittaker functions for P_j-principal series representations of Sp(3, R)2007
- Author(s)
  T. Oda, Miki Hirano(平幹野) and Taku Ishii(石井卓)
- Journal Title
  
  Adv. In Math.
  
  Volume: 215 Pages: 734-765
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Whittaker functions for P_J principal series representations of Sp(3, R)2007
- Author(s)
  T. Oda, M. Hirano and T. Ishii
- Journal Title
  
  Adv.in Math 215
  
  Pages: 734-765
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17204002
[Journal Article] Confluence from Siegel Whittaker functions to Whittaker functions on Sp(2,R)2006
- Author(s)
  平野幹, 石井卓, 織田孝幸
- Journal Title
  
  Proc. Cambridge Phil. 校正中
  
  Pages: 16-16
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] Confluence from Siegel Whittaker functions to Whittaker functions on Sp(2,R)2006
- Author(s)
  T. Oda, M. Hirano and T. Ishii
- Journal Title
  
  Math. Proc. Camb. Phil. Soc. 141
  
  Pages: 15-31
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17204002
[Journal Article] Confluence from Siegel Whittaker functions to Whittaker functions on Sp(2,R)2006
- Author(s)
  平野幹, 石井卓, 織田孝幸
- Journal Title
  
  Proc.Cambridge Phil. (校正中)
  
  Pages: 16-16
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] Minimal polynomials and annihilators of generalized Verma modules of the scalar type2006
- Author(s)
  T. Oda, T. Oshima
- Journal Title
  
  Journal of Lie Theory 16
  
  Pages: 155-219
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340034
[Journal Article] Minimal polynomials and annihilates of generalized Verma modules of the scalar type2006
- Author(s)
  T. Oda, T. Oshima
- Journal Title
  
  Journal of Lie Theory 16
  
  Pages: 155-219
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340034
[Journal Article] Minimal polynomials and annihilators of generalized Verma modules of the scalar type2006
- Author(s)
  H.Oda, T.Oshima
- Journal Title
  
  Journal of Lie Theory 6
  
  Pages: 155-219
- Data Source
  KAKENHI-PROJECT-16340034
[Journal Article] Secondary Whittaker functions for $Psb J$-principal series representations of ${rm Sp}(3,R)$.2005
- Author(s)
  Miki Hirano, Takayuki Oda
- Journal Title
  
  Proceedings of the Japan Academy 81-A-6
  
  Pages: 105-109
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] Secondary Whittaker functions for $Psb J$-principal series representations of ${rm Sp}(3,R)$.2005
- Author(s)
  平野幹, 織田孝幸
- Journal Title
  
  Proceedings of the Japan Academy 81,A,No.6
  
  Pages: 105-109
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] Secondary Whittaker functions for P_J principal series of Sp(3,R)2005
- Author(s)
  平野幹, 織田孝幸
- Journal Title
  
  Proceedings of the Japan Academy 81,A,No.6
  
  Pages: 105-109
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] Generalized Whittaker functions of the degenerate principal series representations of SL(3,R)2005
- Author(s)
  Taku Ishii, Takayuki Oda
- Journal Title
  
  Comentarii math. Universitas Sancti Pauli 54-2
  
  Pages: 187-209
- NAID
  110007689255
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] Generalized Whittaker functions of the degenerate principal series representations of SL(3,R)2005
- Author(s)
  石井卓, 織田孝幸
- Journal Title
  
  Commentarii math. Universitas Sancti Pauli 54-2
  
  Pages: 187-209
- NAID
  110007689255
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] Generalized Whittaker functions of the degenerate principal series representations of $SL (3, {mathbf R})$,2005
- Author(s)
  Taku Ishii, Takayuki Oda
- Journal Title
  
  Commen.Math., Univ.Sancti Pauli 54巻2号
  
  Pages: 187-209
- Data Source
  KAKENHI-PROJECT-17204002
[Journal Article] Matrix coefficients of representations of $SU(2,2)$ : the case of $P_J$-principal series2004
- Author(s)
  織田孝幸, 古関春隆
- Journal Title
  
  International Journal of Mathematics 15
  
  Pages: 1033-1064
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] Principals series Whittaker functions on ${rm SL}(3,R)$.2004
- Author(s)
  眞鍋廣幸, 石井卓, 織田孝幸
- Journal Title
  
  Japan. J. Math. (N.S.) 30 (2004), no. 1, 183--226. 30-1
  
  Pages: 183-226
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] The standard $({mathfrak g},K))$-modules of $Sp(2,{mathbf R})$I, The case of2004
- Author(s)
  織田孝幸
- Journal Title
  
  「保型形式とその応用」数理解析研究所講究録 1398
  
  Pages: 82-111
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] Principal series Whittaker functions on $SL(3,mathbf{R})$2004
- Author(s)
  石井卓, 真鍋廣幸, 織田孝幸
- Journal Title
  
  Japanese Journal of Mathematics 30
  
  Pages: 183-226
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] Principal series Whittaker functions on ${rm SL}(3,R)$.2004
- Author(s)
  Manabe, Hiroyuki, Ishii, Taku, Oda, Takayuki
- Journal Title
  
  Japan.J.Math.(N.S.) 30, no.1
  
  Pages: 183-226
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] BirchとSwinnerton-Dyerの予想2003
- Author(s)
  織田孝幸
- Journal Title
  
  雑誌「数学」 55-1
  
  Pages: 72-88
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] Automorphic Green functions associated with the secondary spherical functions.2003
- Author(s)
  織田孝幸, 都築正男
- Journal Title
  
  Publ. Res. Inst. Math. Sci. 39 (2003), no. 3, 451--533. 39
  
  Pages: 451-533
- NAID
  130003585543
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] Automorphic Green functions associated with the secondary spherical functions.2003
- Author(s)
  Oda, Takayuki, Tsuzuki, Masao
- Journal Title
  
  Publ.Res.Inst.Math.Sci. 39, no.3
  
  Pages: 451-533
- NAID
  130003585543
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] utomorphic Green Functions Associated with the Secondary Spherical Functions2003
- Author(s)
  織田孝幸, 都築正男
- Journal Title
  
  Publications of the RIMS, Kyoto University 39
  
  Pages: 451-533
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] Cohomology of Siegel modular varieties of genus 2 and corresponding automprphic forms, In "Geometry and analysis of automorphic forms of several varaibles"
- Author(s)
  T. Oda
- Journal Title
  
  World Sceintific Publisjing Co. Pte. Ltd
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Confluence from Siegel Whittaker functions to Whittaker functions on Sp(2,R)
- Author(s)
  Milki Hirano, Taku Ishii, Takayuki Oda
- Journal Title
  
  Proc.Cambridge Phil. (In press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340004
[Presentation] Zero cells of the Siegel -Gottschling fumdamental domain of degree 22011
- Author(s)
  織田孝幸
- Organizer
  The International Conference "Polynomial Computer Algebra"
- Place of Presentation
  Euler International Mathematical Institute St. Petersburg, Russia
- Year and Date
  2011-04-19
- Data Source
  KAKENHI-PROJECT-23540016
[Presentation] Introduction to the classical reduction theory2011
- Author(s)
  織田孝幸
- Organizer
  Reduction Theory and Applications to Automorphic Forms
- Place of Presentation
  白馬ハイマウントホテル
- Year and Date
  2011-10-31
- Data Source
  KAKENHI-PROJECT-23540016
[Presentation] Application of reduction theory to the construction of automorphic forms2011
- Author(s)
  織田孝幸
- Organizer
  Reduction Theory and Applications to Automorphic Forms
- Place of Presentation
  白馬ハイマウントホテル
- Year and Date
  2011-11-03
- Data Source
  KAKENHI-PROJECT-23540016
[Presentation] Explicit formula of the matrix coefficients of the large discrete series of SU(3, 1)2011
- Author(s)
  T. Oda
- Organizer
  国際研究集会
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-19204001
[Presentation] Zero cells of the Siegel-Gottschling fumdamental domain of degree2011
- Author(s)
  T. Oda
- Organizer
  The International Conference "Polynomial Computer Algebra"
- Place of Presentation
  Euler International Mathematical Institute St. Petersburg, Russia
- Data Source
  KAKENHI-PROJECT-19204001
[Presentation] 小さな高階半単純Lie群上の特殊関数2010
- Author(s)
  織田孝幸
- Organizer
  Accesary Parameter研究集会
- Place of Presentation
  熊本大学理学部
- Data Source
  KAKENHI-PROJECT-19204001
[Presentation] Quest for more paths between analysis and geometry of automorphic forms on Hermitian domains2009
- Author(s)
  T. Oda
- Organizer
  Workshop "Geometry ond analysis of automorphic forms of many variables
- Place of Presentation
  東京大学数理科学研究科
- Data Source
  KAKENHI-PROJECT-19204001
[Presentation] Explicit formulae for archimedian Whittaker functions on classical groups and related problems,Workshop Represenation theory of reductive groups -local and global aspect, Erwin Schroedinger Internat2009
- Author(s)
  T. Oda
- Organizer
  Inst. for Math. Physics
- Place of Presentation
  ウイーン
- Data Source
  KAKENHI-PROJECT-17204002
[Presentation] Representation theory of reductive groups-local and global aspect2009
- Author(s)
  T. Oda
- Organizer
  Explicit formulae for archimedian Whittaker functions on classical groups and related problems
- Place of Presentation
  Inst. for Math.
- Data Source
  KAKENHI-PROJECT-19204001
[Presentation] The secondary spherical functions and automorphic Green currents for certain symmetric pairs2007
- Author(s)
  T. Oda
- Organizer
  The secondary spherical functions and automorphic Green currents for certain symmetric pairs
- Place of Presentation
  St. Petersburg, Russia
- Data Source
  KAKENHI-PROJECT-19204001
[Presentation] The secondary spherical functions and Green currents associated with certain symmetric pairs.2007
- Author(s)
  Takayuki Oda
- Organizer
  Automprphic Forms(オイラー生誕300年記念サテライト集会)
- Place of Presentation
  サンクト・ペテルブルグ、Euler数学研究所
- Year and Date
  2007-07-06
- Data Source
  KAKENHI-PROJECT-17204002
[Presentation] Secondary spherical functions and the associated Eisenstein-Poincare series2006
- Author(s)
  T. Oda
- Organizer
  Intern Conf on representations of real reductive groups
- Place of Presentation
  Tata Institute for Fudamental Reseach
- Data Source
  KAKENHI-PROJECT-17204002
[Presentation] Explicit formulae for archimedian Whittaker functions classical groups and related problem
- Author(s)
  T. Oda
- Organizer
  Workshop "Representation Theory of reductive groups, local and global aspect, Schro" dinger Insts f'ur Math.
- Place of Presentation
  Physics Wien
- Data Source
  KAKENHI-PROJECT-19204001
[Presentation] ”Cell decomposition of the fundamental domain of the Siegel modular group of genus two”, and an application of the language ”Ruby
- Author(s)
  織田孝幸
- Organizer
  New developments in Modern Number Theory and Applied Mathematicd and Special Contributions of Students and E-learning
- Place of Presentation
  Muscat, Sultanate Oman
- Invited
- Data Source
  KAKENHI-PROJECT-23244003
[Presentation] ”Zero cells of the Siegel-Gottschling fumdamental domain of degree 2”
- Author(s)
  織田孝幸
- Organizer
  The International Conference ”Polynomial Com- 1 puter Algebra”, Euler International Mathematical Institute
- Place of Presentation
  Saint-Petersburg, Russia
- Data Source
  KAKENHI-PROJECT-23244003

1. KAWAMATA Yujiro (90126037)

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2. SAITO Takeshi (70201506)

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3. OSHIMA Toshio (50011721)

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17. SAITO Kyoji (20012445)

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18. SATO Fumihiro (20120884)

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19. NAKAMURA Hiroaki (60217883)

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25. KATO Kazuya (90111450)

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28. SHIMENO Nobukazu (60254140)

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31. TSUBOI Takashi (40114566)

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ODA Takayuki 織田 孝幸

織田 孝幸 オダ タカユキ

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Arithmetic study of automorphic forms of many variables by various methodPrincipal Investigator

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Analysis, geometry and arithmetic of automorphic forms of many variables and higher dimensional modular varietiesPrincipal Investigator

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Constructive geometry of arithmetic quotients of symmetric spacesPrincipal Investigator

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算術的代数解析の試み:多変数超幾何関数の整数論的研究Principal Investigator

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ODA Takayuki 織田孝幸

織田孝幸オダタカユキ