Appears in collection : 2025 - T1 - Representation theory and noncommutative geometry

Supercuspidal representations are the basic building blocks in the representation theory of reductive p-adic groups, and there is intense interest in constructing these representations explicitly. The construction problem faces many additional obstacles in residue characteristic two, however, and even for classical groups, our knowledge there is incomplete. In this talk, based on joint work with Jessica Fintzen, I'll explain how to overcome one such obstacle: the exceptional behavior of the Weil representation in characteristic two.