# Tilting modules for reductive groups and the Hecke category

Four two hour lectures on Jan 23 and 30, Feb 6 and 13 in Bonn:

- Lecture 1: Historical overview, Koszulity phenomena, basic representation theory of algebraic groups.
- Lecture 2: Combinatorics of the representation theory of reductive algebraic groups, linkage principle, translation functors, tilting modules.
- Lecture 3: Characters of tilting modules for SL2, billiards conjecture for SL3.
- Lecture 4: Deformation philsophy, Hecke category, anti-spherical module.