The formal degree of a regular supercuspidal representation

David Schwein (University of Michigan)

18-Oct-2020, 15:30-16:00 (3 years ago)

Abstract: Supercuspidal representations are the building blocks for the representation theory of reductive p-adic groups. Using a general and explicit construction of supercuspidals due to J. K. Yu, one can probe the fine structure of these representations. This talk studies a positive real number called the "formal degree" that measures the size of the representation. In the first part we calculate the formal degree of a Yu representation. In the second part we explain how the local Langlands correspondence predicts our calculation, verifying a conjecture of Hiraga, Ichino, and Ikeda.

number theoryrepresentation theory

Audience: researchers in the discipline


The 2020 Paul J. Sally, Jr. Midwest Representation Theory Conference

Series comments: The 44th Midwest Representation Theory Conference will address recent progress in the theory of representations for groups over non-archimedean local fields, and connections of this theory to other areas within mathematics, notably number theory and geometry.

In order to receive information on how to participate (to be sent out closer to the conference), please register by October 14 here: forms.gle/zFAnQBnuPGRnKzMr7

Organizers: Stephen DeBacker, Jessica Fintzen*, Muthu Krishnamurthy, Loren Spice
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