|Location:||MSRI: Simons Auditorium|
This is part of the joint project in progress with Roman Bezrukavnikov and David Kazhdan.
The goal of the project is to develop a geometric local Langlands correspondence in the $\ell$-adic setting and apply it to the classical Langlands correspondence in general, and to the study of the (stable) Bernstein center, in particular.
To illustrate the general picture, I will explain how to provide a geometric construction of the Bernstein projector to the depth zero spectrum. As an application, I will give its explicit formula and show its stability.No Notes/Supplements Uploaded No Video Files Uploaded