Bondal Alexey ＢｏｎｄａｌＡｌｅｘｅｙ

Researcher Number	00726408
Affiliation (Current)	2026: 東京大学, カブリ数物連携宇宙研究機構, 客員上級科学研究員
Affiliation (based on the past Project Information) *help	2021 – 2024: 東京大学, カブリ数物連携宇宙研究機構, 客員上級科学研究員 2020: 東京大学, カブリ数物連携宇宙研究機構, 主任研究員
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related
Keywords	Principal Investigator spherical functor / quantization / Chern classes / complex manifold / Algebraic varieties / Minimal Model Program / Perverse sheaves / Derived category / Schober / resolutions … More / noncommutative / Floor theory / Derived categories / schobers / Fukaya category / perverse sheaf / resolution / sheaf quantization / NCR / derived category / reflexive sheaf / coherent sheaf / perverse sheaves / orbifold / Novikov ring / schober Less

Perverse sheaves and schobersPrincipal Investigator
- Principal Investigator
  
  Bondal Alexey
- Project Period (FY)
  2024 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  The University of Tokyo

All 2024 2023 2022

All Journal Article Presentation

[Journal Article] Abelian envelopes of exact categories and highest weight categories2024
- Author(s)
  A. Bodzenta, A. Bondal
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 308, 8 Issue: 1 Pages: 1-52
- DOI
  10.1007/s00209-024-03543-3
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Journal Article] Coherent sheaves, Chern classes, and superconnections on compact complex-analytic manifolds2023
- Author(s)
  A. I. Bondal, A. A. Roslyi
- Journal Title
  
  Izvestiya: Mathematics
  
  Volume: 87 Issue: 3 Pages: 439-468
- DOI
  10.4213/im9386e
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Journal Article] Reconstruction of a surface from the category of reflexive sheaves2023
- Author(s)
  Agnieszka Bodzenta, Alexey Bondal
- Journal Title
  
  Advances in Mathematics
  
  Volume: 434 Pages: 1-38
- DOI
  10.1016/j.aim.2023.109338
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Journal Article] Flops and spherical functors2022
- Author(s)
  Bodzenta Agnieszka、Bondal Alexey
- Journal Title
  
  Compositio Mathematica
  
  Volume: 158 Issue: 5 Pages: 1125-1187
- DOI
  10.1112/s0010437x22007497
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Journal Article] Coherent Sheaves, Chern Classes, and Superconnections on Compact Complex-Analytic Manifolds2022
- Author(s)
  Bondal Alexey, Rosly Alexei
- Journal Title
  
  https://arxiv.org/pdf/2211.11112
  
  Volume: 1 Pages: 1-32
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Derived approach to highest weight categories2024
- Author(s)
  A. Bondal
- Organizer
  Plenary talk at the International Congress for Basic Sciences, Beijing, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Poisson brackets and non-commutative deformations of algebraic varieties2024
- Author(s)
  A. Bondal
- Organizer
  Conference "Poisson Geometry and Artin-Schelter Regular Algebras", IASM, Hangzhou, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] The null-categories of noncommutative resolutions2023
- Author(s)
  A. Bondal
- Organizer
  1-st International Congress of Basic Sciences, Beijing, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Noncommutative resolutions and their null categories2023
- Author(s)
  Alexey Bondal
- Organizer
  Current trends in categorically approach to algebraic and symplectic geometry 2, IPMU
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Complex geometry via derived categories2023
- Author(s)
  A. Bondal
- Organizer
  A satellite conference to the ICBS, by The Chinese University of Hong Kong, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Reconstruction of a normal surface from the category of reflexive sheaves2023
- Author(s)
  A. Bondal
- Organizer
  ICBS Satellite Conference on Algebraic and Arithmetic Geometry, Beijing, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] NС resolutions of finite dimensional commutative algebras via smooth surface blow-ups2023
- Author(s)
  A. Bondal
- Organizer
  International conference "McKay correspondence, Tilting theory and related topics", Kavli IPMU, Japan
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Complex geometry via twist closed enhancements2023
- Author(s)
  A. Bondal
- Organizer
  Sino-Russian hybrid conference "Geometry and Physics", Moscow, Russia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Two derived categories of a generic complex torus2022
- Author(s)
  Alexey Bondal
- Organizer
  Conference on Algebraic Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Derived categories of complex manifolds, their DG-enhancement and Bott-Chern classes2022
- Author(s)
  Alexey Bondal
- Organizer
  Beijing-Moscow Mathematical Colloquium (online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Derived categories of complex manifolds, their DG-enhancement and Bott-Chern classes2022
- Author(s)
  Alexey Bondal
- Organizer
  Beijing-Moscow Mathematics Colloquium
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Two derived categories of a general complex torus2022
- Author(s)
  Alexey Bondal
- Organizer
  International Conference on Algebraic Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205

1. 大川新之介 (60646909)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. 桑垣樹 (60814621)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. KAPRANOV MIKHAIL (90746017)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Bondal Alexey Ｂｏｎｄａｌ Ａｌｅｘｅｙ

Research Projects

Research Products

Co-Researchers

Perverse sheaves and schobersPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Abelian envelopes of exact categories and highest weight categories2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Coherent sheaves, Chern classes, and superconnections on compact complex-analytic manifolds2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Reconstruction of a surface from the category of reflexive sheaves2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Flops and spherical functors2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Coherent Sheaves, Chern Classes, and Superconnections on Compact Complex-Analytic Manifolds2022

Author(s)

Journal Title

Data Source

[Presentation] Derived approach to highest weight categories2024

Author(s)

Organizer

Data Source

[Presentation] Poisson brackets and non-commutative deformations of algebraic varieties2024

Author(s)

Organizer

Data Source

[Presentation] The null-categories of noncommutative resolutions2023

Author(s)

Organizer

Data Source

[Presentation] Noncommutative resolutions and their null categories2023

Author(s)

Organizer

Data Source

[Presentation] Complex geometry via derived categories2023

Author(s)

Organizer

Data Source

[Presentation] Reconstruction of a normal surface from the category of reflexive sheaves2023

Author(s)

Organizer

Data Source

[Presentation] NС resolutions of finite dimensional commutative algebras via smooth surface blow-ups2023

Author(s)

Organizer

Data Source

[Presentation] Complex geometry via twist closed enhancements2023

Author(s)

Organizer

Data Source

[Presentation] Two derived categories of a generic complex torus2022

Author(s)

Organizer

Data Source

[Presentation] Derived categories of complex manifolds, their DG-enhancement and Bott-Chern classes2022

Author(s)

Organizer

Data Source

[Presentation] Derived categories of complex manifolds, their DG-enhancement and Bott-Chern classes2022

Author(s)

Organizer

Data Source

[Presentation] Two derived categories of a general complex torus2022

Author(s)

Bondal Alexey ＢｏｎｄａｌＡｌｅｘｅｙ