Algebraic Groups and Representations

Workshop: Representations of algebraic groups

June 30, 2014 to July 4, 2014

The focus will be on Soergel bimodules and their applications to representations, notably to representations of algebraic groups in positive characteristic. There will be two lecture series on these topics, supplemented by some talks of participants. This uses the Kazhdan-Lusztig theory that is discussed in week 1.

Planned schedule

Monday 30

9:00-10:00 - Introduction to Soergel bimodules (Geordie Williamson)

10:30-11:30 - Combinatorics of Lusztig conjecture (Wolfgang Soergel)

12:00-13:00 - Quasi-coherent Hecke categories and braid group actions (Sergey Arkhipov)

Tuesday 1

9:00-10:00 - Generators and Relations for Soergel bimodules (Geordie Williamson)

10:30-11:30 - Modular Lusztig conjecture and bimodules I (Wolfgang Soergel)

12:00-13:00 - Tilting modules I (Henning Haahr Andersen)

Wednesday 2

9:00-10:00 - Modular Lusztig conjecture and bimodules II (Wolfgang Soergel)

10:30-11:30 - Tilting modules II (Henning Haahr Andersen)

12:00-13:00 - Degenerate flags and Schubert varieties (Martina Lanini)

Thursday 3

9:00-10:00 - Intersection forms and counterexamples (Geordie Williamson)

10:30-11:30 - Parity sheaves and tilting modules (Daniel Juteau)

12:00-13:00 - Perverse sheaves on hypertoric varieties (Carl Mautner)

Friday 4

9:00-10:00 - Conjectures: Tilting modules and the antispherical module (Geordie Williamson)

10:30-11:30 - Graded G_1T-parabolic induction (Masaharu Kaneda)

12:00-13:00 - Involutions in Coxeter groups (George Lusztig)


Main scientific organizer: Wolfgang Soergel