Mathematisches Institut der Universität Bonn

Date and Time: 8 November 2024, 2:05pm

Location: MPIM Lecture Hall

Speaker: David Schwein (Universität Bonn)

Title: New supercuspidal representations from the Weil representation in characteristic two

Abstract: Residue characteristic two presents many additional difficulties in the construction of supercuspidal representations, and even for classical groups, our knowledge is incomplete. In this talk, based on joint work with Jessica Fintzen, I'll explain how to overcome one such difficulty: the exceptional behavior of the Heisenberg group and Weil representation in characteristic two. Time permitting, I'll discuss how to overcome a second difficulty: disconnectedness of Lie algebra centralizers.