Statistics of Automorphic Representations through Simplified Trace Formulas

Abstract: Automorphic forms are very difficult to study individually so it is often good to study them in families instead. The Arthur-Selberg trace formula is a powerful tool for this. For certain very nice families (discrete series at infinity) the trace formula takes on a simpler form, allowing us to much more easily prove distributional results. I will discuss some of these results.

number theoryrepresentation theory

Audience: researchers in the topic

Cross Atlantic Representation Theory and Other topics ONline (CARTOON) conference