Seminar series
Date
Fri, 17 Nov 2023
Time
12:00 -
13:00
Speaker
Maximilien Mackie
Organisation
University of Oxford
The Hecke algebra is an algebraic gadget for studying the smooth complex representations of locally profinite groups. We demonstrate the spherical Hecke algebra of GL(n,F) is commutative and present a combinatorial proof of the Satake isomorphism. We apply this to the classification of spherical representations of GL(2,F).