Regular supercuspidal representations

Mardi 6 juin 2017 14:15-15:15 - Tasho Kaletha - University of Michigan

Résumé : This talk will concern the representations of reductive groups over local fields. These occur as local components of automorphic representations and this is one motivation for their study. Harish-Chandra has given a simple and explicit classification of the discrete series representations of reductive groups over the real numbers. We will describe a very similar classification that holds for a large proportion of the supercuspidal representations of reductive groups over non-archimedean local fields (which we may call regular). The analogy runs deeper : there is a remarkable parallel between the characters of regular supercuspidal representations and the characters of discrete series representations of real reductive groups. This leads to an explicit construction of the local Langlands correspondence for regular supercuspidal representations. Time permitting, we will touch upon the extension of these methods beyond the regular case.

Lieu : Bât 425, Salle 117-119

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