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Student Number Theory: Introduction to wavefront sets

Kaya Lakein
Wednesday, February 5, 2025
3:00-4:00 PM
3088 East Hall Map
In this talk, I will talk about the nilpotent orbits in the Lie algebra of a connected reductive group G over a non-archimedean local field of characteristic zero, and explain how these can be used to define a useful invariant of any admissible representation V of G, called the wavefront set of V. In order to do so, I will define the (distribution) character of an admissible representation, and discuss Harish-Chandra's local character expansion. Time permitting, I will mention some recent work on computing wavefront sets, and talk about relating wavefront sets to the local Langlands correspondence.
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Student Number Theory Seminar - Department of Mathematics, Department of Mathematics