Institut Mittag-Leffler workshop on Branching Problems for Reductive Groups
2016 06 01 - math algebraic-groups finite-groups
I gave a lecture on An overview of representations of reductive algebraic groups; essentially everything I discussed can be found in the text of Jens Jantzen on the representation theory of algebraic groups. I tried to focus on things that seemed relevant to the difficulties presented by modular representation theory to “branching problems”: (Hochschild) cohomology, the description of simple representations for reductive groups, reduction mod \(p\) and the Jantzen filtration of Weyl modules.
Here are the slides from my talk.