KAPRANOV MIKHAIL ＫＡＰＲＡＮＯＶＭＩＫＨＡＩＬ

Researcher Number	90746017
Affiliation (Current)	2026: 東京大学, カブリ数物連携宇宙研究機構, 教授
Affiliation (based on the past Project Information) *help	2020 – 2024: 東京大学, カブリ数物連携宇宙研究機構, 教授
Review Section/Research Field	Except Principal Investigator Basic Section 11010:Algebra-related
Keywords	Except 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 schobers
- 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 2025 2024 2023 2022

All Journal Article Presentation

[Journal Article] PROBs and perverse sheaves I: symmetric products2025
- Author(s)
  M. Kapranov, V. Schechtman
- Journal Title
  
  Selecta Mathematica
  
  Volume: 31, 23 Issue: 2 Pages: 1-32
- DOI
  10.1007/s00029-025-01016-x
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Journal Article] Spherical adjunctions of stable infty-categories and the relative S-construction2024
- Author(s)
  T. Dyckerhoff, M. Kapranov, V. Schechtman, Y. Soibelman
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 307, 73 Issue: 4 Pages: 1-59
- DOI
  10.1007/s00209-024-03549-x
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Journal Article] Gel′fand-Fuchs cohomology in algebraic geometry and factorization algebras2023
- Author(s)
  B. Hennion, M. Kapranov
- Journal Title
  
  Journal of the American Mathematical Society
  
  Volume: 36 Issue: 2 Pages: 311-396
- DOI
  10.1090/jams/1001
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Journal Article] The cohomological Hall algebra of a surface and factorization cohomology2023
- Author(s)
  Mikhail Kapranov, Eric Vasserot
- Journal Title
  
  J. Eur. Math. Soc.
  
  Volume: 25 Issue: 11 Pages: 4222-4286
- DOI
  10.4171/jems/1264
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Journal Article] Perverse sheaves on Riemann surfaces as Milnor sheaves2023
- Author(s)
  Tobias Dyckerhoff , Mikhail Kapranov and Yan Soibelman
- Journal Title
  
  Forum of Mathematics, Sigma
  
  Volume: 11 Pages: 1-56
- DOI
  10.1017/fms.2023.84
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Journal Article] PROBs and perverse sheaves II. Ran spaces and 0-cycles with coefficients2022
- Author(s)
  Mikhail Kapranov, Vadim Schechtman
- Journal Title
  
  https://arxiv.org/pdf/2209.02400
  
  Volume: 1 Pages: 1-52
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Perverse sheaves on h/W and constant term of Eisenstein series2025
- Author(s)
  M. Kapranov
- Organizer
  Conference "Categorical and analytic invariants in algebraic, symplectic and complex geometry", Kavli IPMU, Tokyo, Japan
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Resurgence and perverse sheaves2024
- Author(s)
  M. Kapranov
- Organizer
  Conference “Mathematics on the Crossroad of Centuries”, IHES, Bures-sur-Yvette, France
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Adjoint functors, continued fractions and categorifed perverse sheaves2023
- Author(s)
  M. Kapranov
- Organizer
  Daniel Kan Memorial Lectures, University of Utrecht, The Netherlands
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Perverse sheaves and schobers on symmetric products3 Name of Conference2022
- Author(s)
  Mikhail Kapranov
- Organizer
  Noncommutative Shapes
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] The PROB of graded bialgebras, perverse sheaves on configuration spaces and Hecke algebroids2022
- Author(s)
  Mikhail Kapranov
- Organizer
  International workshop of the research group ANR Catore at the University Paris-Cite
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] The PROB of graded bialgebras, perverse sheaves on configuration spaces and Hecke algebroids2022
- Author(s)
  Mikhail Kapranov
- Organizer
  International workshop of the research group ANR Catore at the University Paris-Cite 4 Year of presentation 2022
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205
[Presentation] Perverse sheaves and schobers on symmetric products2022
- Author(s)
  Mikhail Kapranov
- Organizer
  International conference ``Noncommutative Shapes'' in Antwerp, Belgium
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20205

1. Bondal Alexey (00726408)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. 大川新之介 (60646909)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KAPRANOV MIKHAIL ＫＡＰＲＡＮＯＶ ＭＩＫＨＡＩＬ

Research Projects

Research Products

Co-Researchers

Perverse sheaves and schobers

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] PROBs and perverse sheaves I: symmetric products2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Spherical adjunctions of stable infty-categories and the relative S-construction2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Gel′fand-Fuchs cohomology in algebraic geometry and factorization algebras2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The cohomological Hall algebra of a surface and factorization cohomology2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Perverse sheaves on Riemann surfaces as Milnor sheaves2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] PROBs and perverse sheaves II. Ran spaces and 0-cycles with coefficients2022

Author(s)

Journal Title

Data Source

[Presentation] Perverse sheaves on h/W and constant term of Eisenstein series2025

Author(s)

Organizer

Data Source

[Presentation] Resurgence and perverse sheaves2024

Author(s)

Organizer

Data Source

[Presentation] Adjoint functors, continued fractions and categorifed perverse sheaves2023

Author(s)

Organizer

Data Source

[Presentation] Perverse sheaves and schobers on symmetric products3 Name of Conference2022

Author(s)

Organizer

Data Source

[Presentation] The PROB of graded bialgebras, perverse sheaves on configuration spaces and Hecke algebroids2022

Author(s)

Organizer

Data Source

[Presentation] The PROB of graded bialgebras, perverse sheaves on configuration spaces and Hecke algebroids2022

Author(s)

Organizer

Data Source

[Presentation] Perverse sheaves and schobers on symmetric products2022

Author(s)

Organizer

Data Source

KAPRANOV MIKHAIL ＫＡＰＲＡＮＯＶＭＩＫＨＡＩＬ