I was asked to give a series of talks in an `automorphic representations’ learning seminar at Berkeley. Specifically, I was asked to talk about the local representation theory of and aspects of the global representation theory of .
These are ongoing but I thought I’d post my notes for the first two talks. The first is on the representation theory of and the second is on the representation theory of with a focus on the relationship to modular forms.
These notes are a bit on the ‘basic’ side, leaving most technical details/proofs to the more comprehensive texts. This could be useful for some people who just want to get an overview of the ideas involved.
Anyways, feedback welcome as always!