Futaki Masahiro 二木昌宏

Researcher Number	40583927
Other IDs
Affiliation (Current)	2025: 千葉大学, 大学院理学研究院, 准教授
Affiliation (based on the past Project Information) *help	2025: 千葉大学, 大学院理学研究院, 准教授 2023: 千葉大学, 大学院理学研究院, 准教授 2021 – 2022: 千葉大学, 大学院理学研究院, 助教 2018 – 2020: 千葉大学, 大学院理学研究院, 特任助教
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related
Keywords	Principal Investigator シンプレクティック幾何 / ミラー対称性 / 深谷圏 / ファノ多様体 / 行列因子化 / ランダウ・ギンツブルグ模型 / コンタクトコホモロジー / Liouville領域 / wrapped深谷圏 / リュービル領域 … More / ランダウ・ギンツブルク模型 / 行列分解 / フレアーホモロジー / トーリック退化 / ホモロジー的ミラー対称性 / SYZミラー / 同変深谷圏 / 同変コホモロジー / モースホモトピー / SYZファイブレーション / トーリック多様体 Less

Research Projects
(3 results)
Research Products
(11 results)

対数的カラビ・ヤウ曲面の同変ミラー対称性とトロピカル幾何の交錯Principal Investigator
- Principal Investigator
  
  二木昌宏
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Chiba University
トーリックファノ多様体の同変ホモロジー的ミラー対称性の研究Principal Investigator
- Principal Investigator
  
  二木昌宏
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Chiba University
Study of symplectic geometry combining geometric and categorical methodsPrincipal Investigator
- Principal Investigator
  
  Futaki Masahiro
- Project Period (FY)
  2018 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Chiba University

All 2024 2023 2022 2021 2020 2019

All Journal Article Presentation

[Journal Article] Homological mirror symmetry of $\mathbb{F}_1$ via Morse homotopy2024
- Author(s)
  Futaki Masahiro、Kajiura Hiroshige
- Journal Title
  
  Advances in Theoretical and Mathematical Physics
  
  Volume: 26 Issue: 8 Pages: 2611-2637
- DOI
  10.4310/atmp.2022.v26.n8.a5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03269, KAKENHI-PROJECT-18K03293
[Journal Article] Equivariant homological mirror symmetry for C and CP12023
- Author(s)
  Futaki Masahiro、Sanda Fumihiko
- Journal Title
  
  Journal of Geometry and Physics
  
  Volume: 192 Pages: 104929-104929
- DOI
  10.1016/j.geomphys.2023.104929
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03269
[Journal Article] Homological mirror symmetry of CPn and their products via Morse homotopy2021
- Author(s)
  Futaki Masahiro、Kajiura Hiroshige
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 62 Issue: 3 Pages: 032307-032307
- DOI
  10.1063/5.0029165
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03269, KAKENHI-PROJECT-18K03293
[Presentation] Equivariant Homological Mirror Symmetry for CP^12023
- Author(s)
  Masahiro Futaki
- Organizer
  Pacific Rim Complex and Symplectic Geometry Conference 2023, Qingtian, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03269
[Presentation] 1次元射影空間に対する同変ホモロジー的ミラー対称性2022
- Author(s)
  二木昌宏, 三田史彦
- Organizer
  日本数学会年会幾何学分科会
- Data Source
  KAKENHI-PROJECT-18K03269
[Presentation] モースホモトピーと射影空間に対するホモロジー的ミラー対称性2021
- Author(s)
  二木昌宏、梶浦宏成
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-18K03269
[Presentation] Introduction to the Fukaya-Seidel category and homological mirror symmetry for singularities2020
- Author(s)
  Masahiro Futaki
- Organizer
  Workshop on Singularities and Symplectic Geometry, Kyoto University
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03269
[Presentation] A Thom-Sebastiani type theorem for Fukaya-Seidel categories2019
- Author(s)
  Masahiro Futaki
- Organizer
  Mini workshop on Symplectic geometry and Mirror symmetry, Seoul National University
- Data Source
  KAKENHI-PROJECT-18K03269
[Presentation] Homological mirror symmetry for the projective space and an equivariant version2019
- Author(s)
  Masahiro Futaki
- Organizer
  Mirror Symmetry and Related Topics 2019, Kyoto University
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03269
[Presentation] Equivariant homological mirror symmetry and partially wrapped Fukaya category2019
- Author(s)
  Masahiro Futaki
- Organizer
  RMS & IBS-CGP Joint Workshop, RIMS, Kyoto University
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03269
[Presentation] Coamoeba, dimer models and HMS in dimension 22019
- Author(s)
  Masahiro Futaki
- Organizer
  Tropical Geometry and Mirror Symmetry, The University of Melbourne
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03269

Futaki Masahiro 二木 昌宏

Research Projects

Research Products

対数的カラビ・ヤウ曲面の同変ミラー対称性とトロピカル幾何の交錯Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

トーリックファノ多様体の同変ホモロジー的ミラー対称性の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of symplectic geometry combining geometric and categorical methodsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Homological mirror symmetry of $\mathbb{F}_1$ via Morse homotopy2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Equivariant homological mirror symmetry for C and CP12023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Homological mirror symmetry of CPn and their products via Morse homotopy2021

Author(s)

Journal Title

DOI

Data Source

[Presentation] Equivariant Homological Mirror Symmetry for CP^12023

Author(s)

Organizer

Data Source

[Presentation] 1次元射影空間に対する同変ホモロジー的ミラー対称性2022

Author(s)

Organizer

Data Source

[Presentation] モースホモトピーと射影空間に対するホモロジー的ミラー対称性2021

Author(s)

Organizer

Data Source

[Presentation] Introduction to the Fukaya-Seidel category and homological mirror symmetry for singularities2020

Author(s)

Organizer

Data Source

[Presentation] A Thom-Sebastiani type theorem for Fukaya-Seidel categories2019

Author(s)

Organizer

Data Source

[Presentation] Homological mirror symmetry for the projective space and an equivariant version2019

Author(s)

Organizer

Data Source

[Presentation] Equivariant homological mirror symmetry and partially wrapped Fukaya category2019

Author(s)

Organizer

Data Source

[Presentation] Coamoeba, dimer models and HMS in dimension 22019

Author(s)

Organizer

Data Source

Futaki Masahiro 二木昌宏