Harish-Chandra characters and the local Langlands correspondence

Friday, November 16, 2018 - 11:00am - 12:00pm
Keller 3-180
Tasho Kaletha (University of Michigan)
The local Langlands correspondence is a conjectural relationship between the representations of a (real or p-adic reductive) Lie groups and the representations of a local Galois group. Over the real numbers it was constructed by Langlands and refined by Shelstad. Over the p-adic numbers much progress has been made over the last two decades, but a definitive result for general groups is still missing. I will review some aspects of this correspondence and discuss what role the Harish-Chandra characters can play in its construction and characterization.