New supercuspidal representations from the Weil representation in characteristic two

Abstract: Supercuspidal representations are the mysterious "elementary particles" from which all other representations of a reductive p-adic group are built. Residue characteristic two presents additional difficulties in the construction of these 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 of these difficulties: the exceptional behavior of the Heisenberg group and Weil representation in characteristic two. Time permitting, I'll also explain how to overcome a second difficulty: disconnected Lie-algebra centralizers.

algebraic geometrynumber theory

Audience: researchers in the topic

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Boston University Number Theory Seminar