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

The schedule below will is still tentative. Any talks given by PhD students or postdocs are postponed to the Wintersemester.

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 Nehme
Quasi-hereditary algebras and ($\epsilon$)-highest weight categories
May 21
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 Werhan
Exceptional collections on quadrics and Grassmannians