KORI Toshiaki 郡敏昭

… Alternative Names

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 / 解析学 / Geometry / Global analysis 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 / 指数定理 / 幾何的量子化 / ディラック作用素 / スピノール解析 / シンプレクティク構造 / Wess-Zumino-Witten actions / Conformally flat 4-manifolds / Harmonic spinors / Residue theorem … More Except Principal Investigator 有限グラフ / 量子群 / 球関数 / C-半群 / ユニタリ-群 / エルミ-ト形式 / 類数 / Selbergの跡公式 / P-進離散群 / ゼ-タ関数 / 線型代表群 / 調和解析 / ユニタリ-表現 / 無限次元グラスマン多様体 / ソリトン方程式 / アルゴリズム / 漸近十分性 / 漸近有効性 / デフィシャンシイ / 確率解析 / 情報幾何学 / 実験の比較 / ブ-トストラップ法 / 関数方程式 / 偏微分方程式 / 仮設検定 / 確率過程 / ディラック作用素 / Virasono代数 / 可約Verma加群 / 頂点作用素代数 / 完全Z対象R行列 / 量子群上のスペクトル解析 / 中心拡大代数 / Piras作用素 / 反応拡散方程式系 / 準線型放物型方程式 / 漸近安定 / 軌道安定 / 定常解 / 周期解 / 分岐 / 非線形偏微分方程式 / 混合型方程式 / 非線形流体 / シュレディンガー方程式 / 結び目 / 絡み目 / グラフ / Function Algebra / 擬ベクトル場 / Maxvellの方程式 / Farmat予想 / 楕円型-放物型方程式系 / 退化型準線型波動方程式 / 関数空間 / 解析関数 / 関数環 / 強擬凸領域 / 微分子 / Cー半群 / Grassman多様体 / Function spaces / Analytic functions / Function algebras / Strictly pseudo-convex domains / Semigroups / 順序付き改良SOR法 / 緩和係数 / 適応的順序付きブロック改良SOR法 / 順序付き改良SSOR法 / 改良SOR法 / 反復解法 / SOR法 / - / IMPROVED SOR METHOD / MULTIPLE RELAXATION PARAMETERS / ADAPTIVE IMPROVED SOR METHOD / IMPROVED SSOR METHOD / 変分問題 / 非線形楕円型方程式 / ハミルトン系 / 非線型楕円型方程式 / variational problems / elliptic equatims / Hamiltonian systems 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

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4. OTANI Mitsuharu (30119656)

# of Collaborated Projects: 5 results

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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

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11. WADA Junzo (50063342)

# of Collaborated Projects: 3 results

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12. TANAKA Kazunaga (20188288)

# of Collaborated Projects: 3 results

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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

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27. KURATA Kazuhiro (10186489)

# of Collaborated Projects: 1 results

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28. ADACHI Shinji (40339685)

# of Collaborated Projects: 1 results

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29. NAKASHIMA Kimie (10318800)

# of Collaborated Projects: 1 results

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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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場の理論の数学Principal Investigator

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Principal Investigator

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KORI Toshiaki 郡敏昭

郡敏昭