Speaker：Emile Okada（National University of Singapore）

Time：2025-1-8, 16:30 & 2025-1-9, 10:30

Location：Conference Room S106 at Experiment Building at Haiyun Campus

Abstract:

I: In this introductory talk I will give a basic introduction to the representation theory of p-adic groups and its importance to number theory. The aim will to be provide background and motivation for my second talk on the local Langlands correspondence.

II: In ’95 Lusztig gave a local Langlands correspondence for unramified representations of inner-to-split adjoint groups combining many deep results from type theory and geometric representation theory. In this talk I will present an equivariant reformulation of his construction revealing some interesting new structures, and with a view toward proving functoriality results in this framework.