Exceptional collections for finite-dimensional algebras and partial flag varieties
In the Sommersemester 2020 we will run a seminar on exceptional collections in representation theory, first discussing the general theory for finite-dimensional algebras, and then we focus on derived categories of partial flag varieties and the representation theory of algebraic groups. The goal is to
- get familiar with exceptional collections and their applications in algebra, algebraic geometry and representation theory
- discuss them in the context of coherent sheaves, and study the conjecture that the derived category of a partial flag variety has a full exceptional collection
We have a detailed program.
Where? The seminar room of the Max Planck Institute, online.
When? Thursday, from 4 to 6. You can find the Zoom link on eCampus or Basis. Email me if you have trouble accessing this.
Any talks given by PhD students or postdocs are postponed to the Wintersemester, to leave more room for the graduate students' talks.
- April 23
- Derived categories and exceptional collections for finite-dimensional algebras I
- Timm Peerenboom
- April 30
- Derived categories and exceptional collections for finite-dimensional algebras II
- Ismaele Vanni
- May 7
- Derived categories and exceptional collections for finite-dimensional algebras III
- Zbigniew Wojciechowski
- May 14
- Jonas Antor
- Quasi-hereditary algebras and ($\epsilon$)-highest weight categories
- May 20
- Amine Koubaa
- Ringel duality and tilting modules
- May 28
- Patrick Seifner
- Derived categories of coherent sheaves
- June 18
- Mingyu Ni
- Exceptional objects on varieties and Beilinson's collection for projective space
- June 25
- Liao Wang
- The geometry of partial flag varieties
- July 2
- Till Wehrhan
- Exceptional collections on quadrics and Grassmannians