On the Local Converse Theorem for p-adic GL(n)

Abstract: In this talk, we briefly introduce twisted gamma factors and explain how these analytic invariants determine supercuspidal representations of $p$-adic general linear groups up to isomorphism through the Local Converse Theorem. We then review the history of this theorem and discuss recent improvements to its bounds. The talk is based on joint work with Shaun Stevens and separate joint work with Moshe Adrian and Michael Horzepa.

number theory

Audience: researchers in the topic

Five College Number Theory Seminar