# Mathematical Sciences Research Institute

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# Seminar

Joint Seminar: Geometric local Langlands correspondence and the (stable) Bernstein center September 16, 2014 (03:30 PM PDT - 04:30 PM PDT)
Parent Program: -- MSRI: Simons Auditorium
Speaker(s) Yakov Varshavsky (The Hebrew University of Jerusalem)
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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.

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