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Presented By: Department of Mathematics

Special Events Seminar

Dissertation Defense: Formal Degree of Regular Supercuspidals

Zoom:
https://umich.zoom.us/j/91371691984?pwd=UHBFaTN6QVNkcXFmV3ZzbE9GbEJ5UT09
Meeting ID: 913 7169 1984
Password:157559

Supercuspidal representations are usually infinite-dimensional, so the size of such a representation cannot be measured by its dimension; the formal degree is a better alternative. Hiraga, Ichino, and Ikeda conjectured a formula for the formal degree of a supercuspidal in terms of its L-parameter. Our first main result is to compute the formal degrees of the supercuspidal representations
constructed by Yu. Our second, using the first, is to verify that Kaletha’s regular supercuspidal L-packets satisfy the conjecture.

David's advisor is Tasho Kaletha. Speaker(s): David Schwein (UM)

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