$\mathbb C$-representation theory of $p$-adic groups through the glass of types

Working Seminar on Representation Theory
Topic:$\mathbb C$-representation theory of $p$-adic groups through the glass of types
Speaker:Ju-Lee Kim
Affiliation:Massachusetts Institute of Technology; Visiting Professor, School of Mathematics
Date:Wednesday, November 9
Time/Room:11:00am - 12:00pm/S-101

It is well known that representations of open compact subgroups (called types) play a fundamental role in studying representations of $p$-adic groups. We give an overview of the theory (after Bernstein, Moy-Prasad, Bushnell-Kutzko) in connection with harmonic analysis emphasizing the role of types.