# Geometric and Modular Representation Theory Seminar

## Finite groups as algebraic groups in defining characteristic

We will discuss $p$-local representation theory and conjectures of Broue and Alperin, the latter been inspired by finite groups of Lie type in characteristic $p$. The issue is the extent to which the category of representations can be reconstructed from that of proper parabolic subgroups. In different settings, a Borel suffices (Arkhipov-Bezrukavnikov-Ginzburg for rational representations, Colmez for $GL_2$ over $\mathbb Q_p$).

### Date & Time

September 30, 2020 | 3:00pm – 5:00pm

### Location

Simonyi Hall 101 and Remote Access

### Speaker Affiliation

University of California, Los Angeles; Member, School of Mathematics