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

# of Collaborated Products: 0 results
6. MIYADERA Isao (50063293)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. SUZUKI Takeru (60047347)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. SUZUKI Shin'ichi (10030777)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. KOSAMA Tokitake (10063538)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
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

# of Collaborated Products: 0 results
14. 足立恒雄 (60063731)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. 垣田高夫 (90063362)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. 廣瀬健 (60063632)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 伊藤隆一 (00063769)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 中島勝也 (00063305)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 有馬哲 (90063354)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. ISHIGAKI Haruo (60063492)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. HINOHARA Yukitoshi (10063471)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. MUROYA Yoshiaki (90063718)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. YONIDA Gen (90277848)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. KAJI Hajime (70194727)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 福島延久 (00298168)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry of Field Theory and Spinor AnalysisPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

場の理論の数学Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

KORI Toshiaki 郡敏昭

郡敏昭