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International Conference "Categories and birational geometry"
(December 14–18, 2020, online, Moscow)

The workshop is devoted to categorical aspects of birational geometry and singularity theory.

We plan to gather experts to discuss problems on the structure of the categories of coherent sheaves on algebraic varieties and their derived categories in relation to birational structure of algebraic varieties and their singularities. Relevant abelian categories will be in the focus. Among the categories of special interest will be the null-categories of birational morphisms, the categories of noncommutative resolutions of singular varieties and quotient categories by subcategories of torsion sheaves. We expect that this workshop will contribute to categorical interpretation of the Minimal Model Program.

The workshop will be held in Zoom. Note that the schedule below uses Moscow time.

Please use the following link to connect in Zoom: https://mi-ras-ru.zoom.us/j/98958873229

Alternatively, one can use the Meeting ID: 989 5887 3229

The password is as follows: a7924b where ab is the number of points in the projective plane over F_5.

Speakers:

  1. Nicolas Addington (University of Oregon, USA)
  2. Federico Barbacovi (Uni College London, UK)
  3. Agnieszka Bodzenta (Warsaw University, Poland)
  4. John Calabrese (independent, the planet Earth)
  5. Will Donovan (Tsinghua Univeristy, China)
  6. Zheng Hua (University of Hong Kong, China)
  7. Martin Kalck (independent, the planet Earth)
  8. Alexander Kuznetsov (Steklov Math Institute, Russia)
  9. Amnon Neeman (Australian National University, Australia)
  10. Shinnosuke Okawa (Osaka University, Japan)
  11. Evgeny Shinder (Unversity of Sheffield, UK)
  12. Yukinobu Toda (Kavli IPMU, Japan)
  13. Michael Wemyss (Univeristy of Glasgow, UK)


Financial support. The conference is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, agreement no. 075-15-2019-1614).

Program

Abstracts

RSS:

Program Committee
Bondal Aleksei Igorevich
Kawamata Yujiro

Organizing Committee
Bondal Aleksei Igorevich
Kawamata Yujiro
Loginov Konstantin Valerievich

Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center


International Conference "Categories and birational geometry", Moscow, December 14–18, 2020

December 14, 2020 (Mon)
1. Uniqueness theorems for dg enhancements
Amnon Neeman
December 14, 2020 10:00–11:00, Moscow, online
  
2. Categorified Hall products for local surfaces and wall-crossing
Yukinobu Toda
December 14, 2020 11:30–12:30, Moscow, online
  
3. Simultaneous categorical resolutions of singularities
Alexander Kuznetsov
December 14, 2020 14:00–15:00, Moscow, online
  

December 15, 2020 (Tue)
4. Hodge numbers are not derived invariants in positive characteristic
Nick Addington
December 15, 2020 09:00–10:00, Moscow, online
  
5. Moduli space of semiorthogonal decompositions
Shinnosuke Okawa
December 15, 2020 10:30–11:30, Moscow, online
  
6. Semiorthogonal decompositions on singular varieties
Martin Kalck
December 15, 2020 13:00–14:00, Moscow, online
  

December 16, 2020 (Wed)
7. Classification of simple flops and variation of GIT
Will Donovan
December 16, 2020 11:00–12:00, Moscow, online
  
8. Reconstruction of a surface from the category of reflexive sheaves.
Agnieszka Bodzenta
December 16, 2020 12:30–13:30, Moscow, online
  
9. The flop-flop autoequivalence via spherical functors
Federico Barbacovi
December 16, 2020 15:00–16:00, Moscow, online
  

December 17, 2020 (Thu)
10. Derived categories of Fano threefolds of index two with ordinary double points
Evgeny Shinder
December 17, 2020 15:00–16:00, Moscow, online
  
11. Gabriel's reconstruction theorem and birational geometry
John Calabrese
December 17, 2020 17:00–18:00, Moscow, online
  

December 18, 2020 (Fri)
12. Noncommutative Mather-Yau theorem
Zheng Hua
December 18, 2020 11:00–12:00, Moscow, online
  
13. K(pi,1) via contraction algebras
Michael Wemyss
December 18, 2020 12:30–13:30, Moscow, online
  
 
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