Statistics of Automorphic Representations through Simplified Trace Formulas

Abstract: Automorphic representations encode information about a broad range of interesting mathematical objects. They 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 invariant and stable versions of the trace formula take on a simpler form, allowing us to much more easily prove distributional results. I will discuss some of these results and the techniques used for the required trace formula computations.

number theory

Audience: researchers in the discipline

Comments: If you like to attend the talk, please register here: umich.zoom.us/meeting/register/tJAufuqtqDksG9fEmjTbWHM4QOEUad6Ke-DE.

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POINT: New Developments in Number Theory

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