In May 2016, I attended a week-long workshop on Branching Problems for Reductive Groups at the Institut Mittag-Leffler (Djursholm, Sweden).

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.