Special Year 2020-21: Geometric and Modular Representation Theory

We will discuss the conjecture of Broue relating modular representations of finite groups of Lie type in non-defining characteristic to those of normalizers of Levi subgroups, with a focus on $GL_n$. The categories of representations can be related...

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...

In this second talk about Broué’s Abelian Defect Group Conjecture, we will explain its geometric version in the case of finite groups of Lie type: the equivalence should be induced by the cohomology complex of Deligne-Lusztig varieties. This was...

This talk will form part of a series of three talks focusing on Broué’s Abelian Defect Group Conjecture, which concerns the modular representation theory of finite groups. We will pay particular attention here to the ‘geometric’ form of the...