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# Chen Wan : A local twisted trace formula for some spherical varieties

In this talk, I will discuss the geometric expansion of a local twisted trace formula for some special varieties. This generalizes the local (twisted) trace formula for reductive groups proved by Arthur and Waldspurger. By applying the trace formula, we prove a multiplicity formula for these spherical varieties. And I will also discuss some applications to the multiplicity of the Galois model and the unitary Shalika model. This is a joint work with Raphael Beuzart-Plessis.

**Category**: Number Theory**Duration**: 01:03:15**Date**: February 21, 2024 at 3:10 PM**Views**: 27-
**Tags:**seminar, Number Theory Seminar

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