Fukaya Tomohiro 深谷友宏

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FUKAYA TOMOHIRO 深谷友宏

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Researcher Number	40583456
Other IDs
Affiliation (Current)	2025: 東京都立大学, 理学研究科, 准教授
Affiliation (based on the past Project Information) *help	2020 – 2024: 東京都立大学, 理学研究科, 准教授 2018 – 2019: 首都大学東京, 理学研究科, 准教授 2016 – 2017: 首都大学東京, 理工学研究科, 准教授 2016: 首都大学, 東京理工学研究科, 准教授 2012 – 2015: 東北大学, 理学(系)研究科(研究院), 講師 2011: 京都大学, 理学(系)研究科(研究院), 研究員
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / Geometry Except Principal Investigator Geometry
Keywords	Principal Investigator 粗Baum-Connes予想 / 粗凸空間 / 粗幾何学 / 幾何学的群論 / 非正曲率空間 / coarsely convex space / coarse geometry / Coarse Baum-Connes予想 / Coarse Geometry / 非可換幾何学 … More / 相対双曲群 / geometric group theory / 非正曲率 / Busemann空間 / non-positively curved / 粗Cartan-Hadaramの定理 / Cartan-Hadamard theorem / nonpositive curvature / coares Baum-Connes / coarse Baum-Connes予想 / 国際研究者交流 / 国際情報交換（フランス，アメリカ） / コンパクト化 / 作用素環 / 粗代数的位相幾何学 / 境界 / Baum-Connes 予想 … More Except Principal Investigator 非コンパクト多様体 / キャッソンハンドル / モジュライ空間 / スペクトル解析 / 離散群 / Lpコホモロジー / 非コンパクト空間上の解析 / 無限次元ボット周期性 / サイバーグウイッテン理論 / 普遍被覆空間 / モノポール写像 / 非可換幾何学 / ゲージ理論 Less

非正曲率空間の粗幾何学の統一理論の構築Principal Investigator
- Principal Investigator
  
  深谷友宏
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokyo Metropolitan University
New development of the coarse geometry of nonpositively curved spacesPrincipal Investigator
- Principal Investigator
  
  Fukaya Tomohiro
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokyo Metropolitan University
coarse geometry of negatively curved spaces beyond relatively hyperbolic groupsPrincipal Investigator
- Principal Investigator
  
  Fukaya Tomohiro
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Metropolitan University
  Tohoku University
Moduli theory of non linear elliptic operators over non compact manifolds
- Principal Investigator
  
  Kato Tsuyoshi
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
geometry of automatic groups and dynamics of the boundaryPrincipal Investigator
- Principal Investigator
  
  FUKAYA TOMOHIRO
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
  Kyoto University

[Book] 粗幾何学入門2019
- Author(s)
  深谷友宏
- Total Pages
  200
- Publisher
  サイエンス社
- ISBN
  9784781914596
- Data Source
  KAKENHI-PROJECT-19K03471
[Journal Article] A topological product decomposition of Busemann space2024
- Author(s)
  FUKAYA Tomohiro
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 76 Issue: 1 Pages: 269-281
- DOI
  10.2969/jmsj/89738973
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03471
[Journal Article] Visual maps between coarsely convex spaces2023
- Author(s)
  Yuuhei Ezawa, Tomohiro Fukaya
- Journal Title
  
  Kobe Journal of Mathematics
  
  Volume: 40 Pages: 7-45
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03471
[Journal Article] Visual maps between coarsely convex spaces2021
- Author(s)
  Yuuhei Ezawa, Tomohiro Fukaya
- Journal Title
  
  arXiv
  
  Volume: -
- Open Access
- Data Source
  KAKENHI-PROJECT-19K03471
[Journal Article] Coarse compactifications and controlled products2020
- Author(s)
  Tomohiro Fukaya, Shin-ichi Oguni, Takamitsu Yamauchi
- Journal Title
  
  Journal of Topology and Analysis
  
  Volume: online Issue: 04 Pages: 1-26
- DOI
  10.1142/s1793525321500102
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17595, KAKENHI-PROJECT-19K03467, KAKENHI-PROJECT-19K03471
[Journal Article] The coarse Baum-Connes conjecture for Busemann non-positively curved spaces2016
- Author(s)
  Tomohiro Fukaya, Shin-ichi Oguni
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 56(1) Issue: 1 Pages: 1-12
- DOI
  10.1215/21562261-3445129
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740045, KAKENHI-PROJECT-15K17528
[Journal Article] Coronae of product spaces and the coarse Baum-Connes conjecture2015
- Author(s)
  Tomohiro Fukaya, Shin-ichi Oguni
- Journal Title
  
  Advances in Mathematics
  
  Volume: 279 Pages: 201-233
- DOI
  10.1016/j.aim.2015.01.022
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23740049, KAKENHI-PROJECT-24740045
[Journal Article] The coarse Baum-Connes conjecture for relatively hyperbolic groups2012
- Author(s)
  Tomohiro Fukaya, Shin-ichi Oguni
- Journal Title
  
  Journal of Topology and Analysis
  
  Volume: Volume 4 Issue: 01 Pages: 99-113
- DOI
  10.1142/s1793525312500021
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740049
[Journal Article] Remark on dynamical Morse inequality2011
- Author(s)
  Masayuki Asaoka, Tomohiro Fukaya, Masaki Tsukamoto
- Journal Title
  
  Proceedings of the Japan Academy, Series A, Mathematical Sciences
  
  Volume: 87 Issue: 9 Pages: 178-182
- DOI
  10.3792/pjaa.87.178
- NAID
  40019128083
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740048, KAKENHI-PROJECT-22684003, KAKENHI-PROJECT-23740049
[Presentation] Visual maps between coarsely convex spaces2023
- Author(s)
  深谷友宏
- Organizer
  微分幾何研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03471
[Presentation] Visual maps between coarsely convex spaces2022
- Author(s)
  深谷友宏
- Organizer
  集合論的および幾何学的トポロジーと関連分野への応用
- Data Source
  KAKENHI-PROJECT-19K03471
[Presentation] Busemann空間の位相的分解2022
- Author(s)
  深谷友宏
- Organizer
  日本数学会秋季総合分科会・幾何学分科会
- Data Source
  KAKENHI-PROJECT-19K03471
[Presentation] Visual maps between coarsely convex spaces2021
- Author(s)
  Tomohiro Fukaya
- Organizer
  Geometric Group Theory in East Asia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03471
[Presentation] Coarsely convex spaces2019
- Author(s)
  Tomohiro Fukaya
- Organizer
  AMS Spring Central and Western Joint Sectional Meeting，Special Session on Coarse Geometry, Index Theory, and Operator Algebras: Around the Mathematics of John Roe
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17528
[Presentation] 粗凸空間に作用する群の例2019
- Author(s)
  深谷友宏
- Organizer
  日本数学会秋季総合分科会・幾何学分科会
- Data Source
  KAKENHI-PROJECT-19K03471
[Presentation] 粗幾何学入門1,22019
- Author(s)
  深谷友宏
- Organizer
  阿蘇幾何学研究集会
- Data Source
  KAKENHI-PROJECT-19K03471
[Presentation] Coarsely convex spaces2018
- Author(s)
  Tomohiro Fukaya
- Organizer
  Rigidity School ― The Final Meeting
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17528
[Presentation] 粗幾何学における非正曲率空間の新しい定式化とその境界2018
- Author(s)
  深谷友宏
- Organizer
  日本数学会年会・幾何学分科会
- Data Source
  KAKENHI-PROJECT-15K17528
[Presentation] A coarse Cartan-Hadamard theorem with application to the coarse Baum-Connes conjecture2018
- Author(s)
  Tomohiro Fukaya
- Organizer
  Noncommutative Geometry and K-Theory at Rits -The Fourth China-Japan Conference-
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17528
[Presentation] A coarse Cartan-Hadamard theorem with application to the coarse Baum-Connes conjecture2018
- Author(s)
  Tomohiro Fukaya
- Organizer
  Noncommutative Geometry and K-Theory at Rits -The Fourth China-Japan Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17528
[Presentation] A coarse Cartan-Hadamard theorem with application to the coarse Baum-Connes conjecture2017
- Author(s)
  Tomohiro Fukaya
- Organizer
  Workshop: Non-Positively Curved Groups and Spaces
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17528
[Presentation] The coarse Baum-conjecture for product of nonpositive curved spaces and groups2016
- Author(s)
  Tomohiro Fukaya
- Organizer
  The second China-Japan geometry conference
- Place of Presentation
  中国福建省福州市
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17528
[Presentation] The coarse Baum-conjecture for product of nonpositive curved spaces and groups2016
- Author(s)
  Tomohiro Fukaya
- Organizer
  Glances@Manifolds II
- Place of Presentation
  Krakow, Poland
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17528
[Presentation] The coarse Baum-conjecture for product of nonpositive curved spaces and groups2016
- Author(s)
  Tomohiro Fukaya
- Organizer
  Workshop on Development of new methods in Symplectic Geometry: JSPS Bilateral Joint Research Project between Belgium and Japan
- Place of Presentation
  東北大学，仙台市
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17528
[Presentation] Boundary of relatively hyperbolic groups and coarse geoemtry2015
- Author(s)
  Tomohiro FUKAYA
- Organizer
  日中非可換幾何学研究集会
- Place of Presentation
  重慶大学
- Year and Date
  2015-12-22
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17528
[Presentation] 相対双曲群の境界と粗幾何学2015
- Author(s)
  深谷友宏
- Organizer
  日本数学会秋季総合分科会特別講演
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-16
- Invited
- Data Source
  KAKENHI-PROJECT-15K17528
[Presentation] Coronae and the coarse Baum-Connes conjcture2015
- Author(s)
  Tomohiro Fukaya
- Organizer
  Mini-workshop on Differential Geometry in Sendai
- Place of Presentation
  東北大学
- Year and Date
  2015-03-19
- Invited
- Data Source
  KAKENHI-PROJECT-23740049
[Presentation] 直積空間の境界とCoarse Baum-Connes 予想2014
- Author(s)
  深谷友宏
- Organizer
  第61回幾何学シンポジウム
- Place of Presentation
  名城大学
- Year and Date
  2014-08-24
- Invited
- Data Source
  KAKENHI-PROJECT-23740049
[Presentation] Coarse Baum-Connes conjecture for product spaces2014
- Author(s)
  Tomohiro Fukaya
- Organizer
  確率論と幾何学
- Place of Presentation
  東京工業大学
- Year and Date
  2014-09-04
- Invited
- Data Source
  KAKENHI-PROJECT-23740049
[Presentation] 境界とCoarse Baum-Connes予想2014
- Author(s)
  深谷友宏
- Organizer
  幾何学セミナー
- Place of Presentation
  東北大学
- Year and Date
  2014-06-17
- Invited
- Data Source
  KAKENHI-PROJECT-23740049
[Presentation] coarse Baum-Connes conjecture for relatively hyperbolic groups2013
- Author(s)
  Tomohiro Fukaya
- Organizer
  Seminaire Caen Cergy Clermont Paris
- Place of Presentation
  Universite Paris 7, Paris, France
- Data Source
  KAKENHI-PROJECT-23740049
[Presentation] coarse Baum-Connes conjecture for relatively hyperbolic groups2013
- Author(s)
  Tomohiro Fukaya
- Organizer
  Seminaire d'Algebres d'Operateur, Institut de Mathematiques
- Place of Presentation
  Universite Paris 7, Paris, France
- Data Source
  KAKENHI-PROJECT-23740049
[Presentation] coarse Baum-Connes conjecture for relatively hyperbolic groups2013
- Author(s)
  Tomohiro Fukaya
- Organizer
  ESI School and Conference Geometry and Quantization GEOQUANT 2013
- Place of Presentation
  Erwin-Schrodinger International Institute for Mathematical Physics (ESI), Vienna, Austria
- Data Source
  KAKENHI-PROJECT-23740049
[Presentation] The coarse Baum-Connes conjecture for relatively hyperbolic groups2012
- Author(s)
  深谷友宏
- Organizer
  The 4th GCOE International Symposium on ``Weaving Science Web beyond Particle-Matter Hierarchy''(招待講演)
- Place of Presentation
  東北大学
- Data Source
  KAKENHI-PROJECT-23740049
[Presentation] The coarse Baum-Connes conjecture for relatively hyperbolic groups2012
- Author(s)
  深谷友宏
- Organizer
  日本数学会年会
- Place of Presentation
  東京理科大学
- Data Source
  KAKENHI-PROJECT-23740049
[Presentation] The coarse Baum-Connes conjecture for relatively hyperbolic groups2012
- Author(s)
  Tomohiro Fukaya
- Organizer
  Group actions and K-theory(招待講演)
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-23740049
[Presentation] The coarse Baum-Connes conjecture for relatively hyperbolic groups2011
- Author(s)
  Tomohiro Fukaya
- Organizer
  General and Geometric Topology and its Applications(招待講演)
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-23740049
[Presentation] The coarse Baum-Connes conjecture for relatively hyperbolic groups
- Author(s)
  Tomohiro Fukaya
- Organizer
  名古屋大学幾何学セミナー
- Place of Presentation
  名古屋大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740049
[Presentation] Blow up of the boundary of relatively hyperbolic group
- Author(s)
  Tomohiro Fukaya
- Organizer
  Rigidity School, Tokyo 2012/2013
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740049
[Presentation] The coarse Baum-Connes conjecture for relatively hyperbolic groups
- Author(s)
  Tomohiro Fukaya
- Organizer
  第８回日中友好幾何学研究集会
- Place of Presentation
  中国
- Invited
- Data Source
  KAKENHI-PROJECT-23740049
[Presentation] The coarse Baum-Connes conjecture for relatively hyperbolic groups
- Author(s)
  Tomohiro Fukaya
- Organizer
  東北大学幾何学セミナー
- Place of Presentation
  東北大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740049

1. Kida Yoshikata (90451517)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. Kato Tsuyoshi (20273427)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. Oguni Shin-ichi (00549446)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
4. Tsukamoto Masaki (70527879)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
5. Matsuo Shinichiroh (40599487)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Fukaya Tomohiro 深谷 友宏

FUKAYA TOMOHIRO 深谷 友宏

Research Projects

Research Products

Co-Researchers

非正曲率空間の粗幾何学の統一理論の構築Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

New development of the coarse geometry of nonpositively curved spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

coarse geometry of negatively curved spaces beyond relatively hyperbolic groupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Moduli theory of non linear elliptic operators over non compact manifolds

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

geometry of automatic groups and dynamics of the boundaryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] 粗幾何学入門2019

Author(s)

Total Pages

Publisher

ISBN

Data Source

[Journal Article] A topological product decomposition of Busemann space2024

Author(s)

Journal Title

DOI

ISSN

Language

Data Source

[Journal Article] Visual maps between coarsely convex spaces2023

Author(s)

Journal Title

Data Source

[Journal Article] Visual maps between coarsely convex spaces2021

Author(s)

Journal Title

Data Source

[Journal Article] Coarse compactifications and controlled products2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The coarse Baum-Connes conjecture for Busemann non-positively curved spaces2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Coronae of product spaces and the coarse Baum-Connes conjecture2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The coarse Baum-Connes conjecture for relatively hyperbolic groups2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Remark on dynamical Morse inequality2011

Author(s)

Journal Title

DOI

Fukaya Tomohiro 深谷友宏

FUKAYA TOMOHIRO 深谷友宏