KORI Toshiaki 郡敏昭

… Alternative Names

郡敏昭

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Researcher Number	50063730
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2004 – 2009: 早稲田大学, 理工学術院, 教授 1989 – 2003: 早稲田大学, 理工学部, 教授 1987: 早稲田大学, 理工学部, 教授
Review Section/Research Field	Principal Investigator Geometry / Global analysis / Geometry / 解析学 Except Principal Investigator 解析学 / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Global analysis
Keywords	Principal Investigator Dirac operator / Riemann-Roch theorem / Runge theorem / Residue theorem / Harmonic spinors / Conformally flat 4-manifolds / Wess-Zumino-Witten actions / シンプレクティク構造 / スピノール解析 / ディラック作用素 … More / 幾何的量子化 / 指数定理 / Wess-Zumino theory / Abelian extension of 3-dim. Mapping group / Symplectic structure / Moduli space of flat connections / Chern-Simons quantization / ディラック方程式 / 電磁ヘリシティ / シンプレクティク幾何 / Chern-Simonsゲージ理論 / Wess-Zumino理論 / 3次元写像群の可環拡大 / 平坦接続のモジュライ空間 / Chern-Simons量子化 / Axiomatic field theory / 写像群の中心拡大 / リーマン・ロッホ型定理 / 共形平坦 / 調和スピノール / WZWモデル / Conformally flat manifolds / Axiomatic field theories / Chiral anomaly / Spinor analysis / Index theorem / ヤン・ミルズ・ヒグス理論 / インスタントン / グラスマン境界条件 / ゲージ項 / Dirac作用素 / カイラルアノマリ / 接続のモジュライ空間 / ADHM構成 / ヤング・ミルズ接続 / 表現論 / フォック空間 / 球函数 / qー類似 / 無限次グラスマニアン / 固有値問題 / スピノ-ル … More Except Principal Investigator C-半群 / 球関数 / 量子群 / 有限グラフ / Hamiltonian systems / elliptic equatims / variational problems / 非線型楕円型方程式 / ハミルトン系 / 非線形楕円型方程式 / 変分問題 / IMPROVED SSOR METHOD / ADAPTIVE IMPROVED SOR METHOD / MULTIPLE RELAXATION PARAMETERS / IMPROVED SOR METHOD / - / SOR法 / 反復解法 / 改良SOR法 / 順序付き改良SSOR法 / 適応的順序付きブロック改良SOR法 / 緩和係数 / 順序付き改良SOR法 / Semigroups / Strictly pseudo-convex domains / Function algebras / Analytic functions / Function spaces / Grassman多様体 / Cー半群 / 微分子 / 強擬凸領域 / 関数環 / 解析関数 / 関数空間 / 退化型準線型波動方程式 / 楕円型-放物型方程式系 / Farmat予想 / Maxvellの方程式 / 擬ベクトル場 / Function Algebra / グラフ / 絡み目 / 結び目 / シュレディンガー方程式 / 非線形流体 / 混合型方程式 / 非線形偏微分方程式 / 分岐 / 周期解 / 定常解 / 軌道安定 / 漸近安定 / 準線型放物型方程式 / 反応拡散方程式系 / Piras作用素 / 中心拡大代数 / 量子群上のスペクトル解析 / 完全Z対象R行列 / 頂点作用素代数 / 可約Verma加群 / Virasono代数 / ディラック作用素 / 確率過程 / 仮設検定 / 偏微分方程式 / 関数方程式 / ブ-トストラップ法 / 実験の比較 / 情報幾何学 / 確率解析 / デフィシャンシイ / 漸近有効性 / 漸近十分性 / アルゴリズム / ソリトン方程式 / 無限次元グラスマン多様体 / ユニタリ-表現 / 調和解析 / 線型代表群 / ゼ-タ関数 / P-進離散群 / Selbergの跡公式 / 類数 / エルミ-ト形式 / ユニタリ-群 Less

Geometry of the space of Yang-Mills connections and its dual.Principal Investigator
- Principal Investigator
  
  KORI Toshiaki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Waseda University
Quantization of the Chem-Simons Gauge Theory on Four-manifoldsPrincipal Investigator
- Principal Investigator
  
  KORI Toshiaki
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Waseda University
Geometry of Field Theory and Spinor AnalysisPrincipal Investigator
- Principal Investigator
  
  KORI Tosiaki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Variational study of nonlinear diffential equations
- Principal Investigator
  
  TANAKA Kazunaga
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Boundary conditions for gavge coupled Dirac operators and their invariants.Principal Investigator
- Principal Investigator
  
  KORI Toshiaki
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Waseda University
非線形偏微分方程式系の総合的研究
- Principal Investigator
  
  大谷光春
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Waseda University
MATHEMATICAL ANALYSIS AND NUMERICAL ANALYSIS OF SEVERAL KINDS OF DIFFERENTIAL EQUATIONS.
- Principal Investigator
  
  MUROYA Yoshiaki
- Project Period (FY)
  1994 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  WASEDA UNIVERSITY
非線型放物型方程式系及び楕円型方程式系にたいする解集合の研究
- Principal Investigator
  
  山田義雄
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Waseda University
関数方程式の総合的研究
- Principal Investigator
  
  小島清史
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Waseda University
場の理論の数学Principal Investigator
- Principal Investigator
  
  郡敏昭
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Waseda University
無限次元リー群およびリー環の表現とその応用
- Principal Investigator
  
  清水義之
- Project Period (FY)
  1991 – 1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Waseda University
量子群上の調和解析と差分系のスペクトル理論
- Principal Investigator
  
  上野喜三雄
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Waseda University
統計的漸近理論の研究
- Principal Investigator
  
  SUZUKI Takeru
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Waseda University
代数群上の保型函数論とP-進離散群の研究
- Principal Investigator
  
  橋本喜一朗
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Waseda University
Theory of Function Spaces and its Applications
- Principal Investigator
  
  WADA Junzo
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Waseda University
Complex Analytic Dynamicsの研究
- Principal Investigator
  
  伊藤隆一
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Waseda University
数論的多様体の幾何学的研究
- Principal Investigator
  
  有馬哲
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Waseda University

All 2009 2008 2005 2004

All Journal Article Presentation

[Journal Article] Map(S^-3,G)の可環拡大の4次元多様体上の接続の幾何的量子化束への作用について2008
- Author(s)
  郡敏昭
- Journal Title
  
  数理解析研究所講究録 1576
  
  Pages: 134-153
- Data Source
  KAKENHI-PROJECT-19540104
[Journal Article] Yang-Mills方程式のハミルトン形式とHelicity2005
- Author(s)
  郡敏昭
- Journal Title
  
  京都大学数理解析研究所講究録[力学系と微分幾何] 1408
  
  Pages: 110-122
- Data Source
  KAKENHI-PROJECT-16540084
[Journal Article] Yang-Mills 方程式のハミルトン形式2004
- Author(s)
  郡敏昭
- Journal Title
  
  数理解析研究所講究録 1408
  
  Pages: 110-122
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540084
[Journal Article] Cohomology groups of harmonic spinors on conformally flat manifolds2004
- Author(s)
  T.Kori
- Journal Title
  
  Trends in Math. Advances in Analysis and Geometry Book
  
  Pages: 209-225
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540084
[Journal Article] Cohomology groups of harmonic spinors on conformally flat manifolds2004
- Author(s)
  T.Kori
- Journal Title
  
  Trends in Math. Advances in Analysis and geometry
  
  Pages: 209-225
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540084
[Journal Article] Hamiltonian formalism of Yang-Mills equation : vortex formula.2004
- Author(s)
  T.Kori
- Journal Title
  
  Research note of Research institute of Mathematical Sciences vol 1408
  
  Pages: 110-122
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540084
[Presentation] 3次元多様体上の\(SU(N)\)平坦接続の空間の\\幾何的準量子化について2009
- Author(s)
  郡敏昭
- Organizer
  日本数学会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-27
- Data Source
  KAKENHI-PROJECT-19540104

1. YAMADA Yoshio (20111825)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
2. TSUTSUMI Masayoshi (70063774)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. 上野喜三雄 (70160190)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
4. OTANI Mitsuharu (30119656)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. 橋本喜一朗 (90143370)

# of Collaborated Projects: 4 results

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6. MIYADERA Isao (50063293)

# of Collaborated Projects: 4 results

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7. SUZUKI Takeru (60047347)

# of Collaborated Projects: 3 results

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8. SUZUKI Shin'ichi (10030777)

# of Collaborated Projects: 3 results

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9. KOSAMA Tokitake (10063538)

# of Collaborated Projects: 3 results

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10. 小島清史 (30063689)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
11. WADA Junzo (50063342)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. TANAKA Kazunaga (20188288)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
13. 清水義之 (60063723)

# of Collaborated Projects: 2 results

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14. 足立恒雄 (60063731)

# of Collaborated Projects: 2 results

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15. 垣田高夫 (90063362)

# of Collaborated Projects: 2 results

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16. 廣瀬健 (60063632)

# of Collaborated Projects: 1 results

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17. 伊藤隆一 (00063769)

# of Collaborated Projects: 1 results

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18. 中島勝也 (00063305)

# of Collaborated Projects: 1 results

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19. 有馬哲 (90063354)

# of Collaborated Projects: 1 results

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20. ISHIGAKI Haruo (60063492)

# of Collaborated Projects: 1 results

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21. HINOHARA Yukitoshi (10063471)

# of Collaborated Projects: 1 results

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22. MUROYA Yoshiaki (90063718)

# of Collaborated Projects: 1 results

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23. YONIDA Gen (90277848)

# of Collaborated Projects: 1 results

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24. KAJI Hajime (70194727)

# of Collaborated Projects: 1 results

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25. 福島延久 (00298168)

# of Collaborated Projects: 1 results

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26. SHIBATA Tetsutaro (90216010)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. KURATA Kazuhiro (10186489)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. ADACHI Shinji (40339685)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. NAKASHIMA Kimie (10318800)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. 鈴木達夫 (70318799)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. 本間泰史 (50329108)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KORI Toshiaki 郡 敏昭

郡 敏昭

Research Projects

Research Products

Co-Researchers

Geometry of the space of Yang-Mills connections and its dual.Principal Investigator

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Quantization of the Chem-Simons Gauge Theory on Four-manifoldsPrincipal Investigator

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Geometry of Field Theory and Spinor AnalysisPrincipal Investigator

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Boundary conditions for gavge coupled Dirac operators and their invariants.Principal Investigator

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Principal Investigator

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場の理論の数学Principal Investigator

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Principal Investigator

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Principal Investigator

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KORI Toshiaki 郡敏昭

郡敏昭