SATO Nobuya 佐藤信哉

Researcher Number	60305662
Other IDs
Affiliation (Current)	2022: 立教大学, 理学部, 准教授
Affiliation (based on the past Project Information) *help	2010 – 2013: 立教大学, 理学部, 准教授 2007 – 2008: Rikkyo University, 理学部, 准教授 2003 – 2006: 立教大学, 理学部, 助教授 2001 – 2002: 大阪府立大学, 総合科学部, 講師
Review Section/Research Field	Principal Investigator Geometry / Geometry / Global analysis
Keywords	Principal Investigator Subfactor / 部分因子環 / 3次元位相的場の理論 / quantum double / Cuntz環 / Turaev-Viro-Ocneanu TQFT / Verlinde基底 / Dehn手術公式 / Verlinede基底 / 位相的場の理論 … More / モース関数 / Modular functor / Long-Rehren subfactor / braided categoryのorbifold / non-linear sigma model / D-brane / noncommutative geometry / Longo-Rehren subfactor / Turaev-Viro-Ocneanu位相不変量 / Reshetikhin-Turaev位相不変量 / orbifold category / Subfactor理論 / 3次元多様体 / Turaev-Viro-Ocneanu型位相不変量 / Reshetikhin-Turaev型位相不変量 / Doplicher-Roberts duality / fusion rule algebra / twisted K-theory / Turaev-Viro-Ocneanu不変量 / 位相的弦理論 / 代数的場の量子論 / 非可換幾何学 / Reshetikhin-Turaev不変量 / Calabi-Yau多様体 / Mirror duality / 超弦理論 / ホモトピー的場の理論 / modular cateogry / star product / categorification / framed link invariant / paragroup / Q-system / コホモロジー群 / 幾何学的表現 / Weyl群 / フロベニウス代数 / 幾何学的実現 / 再生核ヒルベルト空間 / similarity orbit / ループ群 / 3次元Chern-Simons理論 / subfactor planar algebra / 3次元多様体の位相不変量 / D2n-線形スケイン / subfactorの幾何学的表現 / Borel-Weil-Bottの定理 / Beltita-Gale / subfactor Less

Research Projects
(4 results)
Research Products
(10 results)

On the research of a geometric realization of subfactors and its applicationsPrincipal Investigator
- Principal Investigator
  
  SATO Nobuya
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Rikkyo University
Research on topological quantum field theories by operator algebrasPrincipal Investigator
- Principal Investigator
  
  SATO Nobuya
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Rikkyo University
作用素環論の低次元トポロジーへの応用Principal Investigator
- Principal Investigator
  
  佐藤信哉
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Rikkyo University
作用素環論の低次元トポロジーへの応用Principal Investigator
- Principal Investigator
  
  佐藤信哉
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka Prefecture University

All 2010 2007 2006 2005

All Journal Article Presentation Book

[Book] 対称性からの群論入門(原題Groups and Symmetry)2007
- Author(s)
  佐藤信哉(訳)/M.A. Armstrong(原著)
- Total Pages
  215
- Publisher
  シュプリンガー・ジャパン
- Data Source
  KAKENHI-PROJECT-18740037
[Journal Article] An invitation to V.F.R.Jones'planar algebras2010
- Author(s)
  Nobuya SATO
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 第1716巻 Pages: 64-83
- Data Source
  KAKENHI-PROJECT-22540234
[Journal Article] Recent Development in Subfactor Theoretic Approach to (2+1)-dimensional Topological Quantum Field Theory2007
- Author(s)
  Nobuya SATO
- Journal Title
  
  京都大学数理解析研究所講究録 1534
  
  Pages: 38-50
- Data Source
  KAKENHI-PROJECT-18740037
[Journal Article] (2+1)-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants2005
- Author(s)
  Y.Kawahigashi, N.Sato, M.Wakui
- Journal Title
  
  Advances in Mathematics (印刷中)
- Data Source
  KAKENHI-PROJECT-15740043
[Journal Article] Orbifold aspects of the Longo-Rehren subfactors2005
- Author(s)
  Nobuya SATO
- Journal Title
  
  Communications in Mathematical Physics 257
  
  Pages: 151-167
- Data Source
  KAKENHI-PROJECT-15740043
[Journal Article] (2+1)-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants2005
- Author(s)
  Yasuyuki Kawahigashi, Nobuya Sato, Michihisa Wakui
- Journal Title
  
  Advances in Mathematics 195
  
  Pages: 165-204
- Data Source
  KAKENHI-PROJECT-15740043
[Journal Article] Orbifold aspects of the Longo-Rehren subfactors2005
- Author(s)
  Nobuya Sato
- Journal Title
  
  Communications in Mathematical Physics (印刷中)
- Data Source
  KAKENHI-PROJECT-15740043
[Presentation] A representation of planar operads-V.F.R.Jones' theory of planar algebras-2010
- Author(s)
  Nobuya Sato
- Organizer
  Workshop on Noncommutative Geometric Approach to the Index Theory for Singular Spaces
- Place of Presentation
  関西セミナーハウス
- Year and Date
  2010-10-22
- Data Source
  KAKENHI-PROJECT-22540234
[Presentation] An introduction to the planar algebras2010
- Author(s)
  佐藤信哉
- Organizer
  Intelligence of Low-dimensional Topology
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-06-03
- Data Source
  KAKENHI-PROJECT-22540234
[Presentation] Recent Development in Subfactor Theoretic Approach to (2+1)-dimensional Topological Quantum Field Theory2006
- Author(s)
  Nobuya SATO
- Organizer
  研究集会「作用素環論の発展」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2006-09-06
- Data Source
  KAKENHI-PROJECT-18740037

SATO Nobuya 佐藤 信哉

Research Projects

Research Products

On the research of a geometric realization of subfactors and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on topological quantum field theories by operator algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

作用素環論の低次元トポロジーへの応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

作用素環論の低次元トポロジーへの応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] 対称性からの群論入門(原題Groups and Symmetry)2007

Author(s)

Total Pages

Publisher

Data Source

[Journal Article] An invitation to V.F.R.Jones'planar algebras2010

Author(s)

Journal Title

Data Source

[Journal Article] Recent Development in Subfactor Theoretic Approach to (2+1)-dimensional Topological Quantum Field Theory2007

Author(s)

Journal Title

Data Source

[Journal Article] (2+1)-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants2005

Author(s)

Journal Title

Data Source

[Journal Article] Orbifold aspects of the Longo-Rehren subfactors2005

Author(s)

Journal Title

Data Source

[Journal Article] (2+1)-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants2005

Author(s)

Journal Title

Data Source

[Journal Article] Orbifold aspects of the Longo-Rehren subfactors2005

Author(s)

Journal Title

Data Source

[Presentation] A representation of planar operads-V.F.R.Jones' theory of planar algebras-2010

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] An introduction to the planar algebras2010

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] Recent Development in Subfactor Theoretic Approach to (2+1)-dimensional Topological Quantum Field Theory2006

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

SATO Nobuya 佐藤信哉