An approach to characterizing the local Langlands conjecture over $p$-adic fields

Abstract: In 2013 P. Scholze provided an alternative proof of the local Langlands correspondence (LLC) for $\textnormal{GL}_n$ and, in doing so, Scholze gave a new characterization of the LLC via a certain trace identity. In this talk the speaker will discuss joint work with A. Bertoloni Meli showing that a generalization of this trace identity characterizes the LLC for much more general groups if one assumes standard expected properties of such a correspondence.

number theoryrepresentation theory

Audience: researchers in the topic

Cross Atlantic Representation Theory and Other topics ONline (CARTOON) conference