Presented By: Student Number Theory Seminar - Department of Mathematics
Student Number Theory: Introduction to wavefront sets
Kaya Lakein
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.
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