数论与表示论讨论班

Number Theory and Representation Theory Seminar

Time: June 28, Wednesday, 16:00-17:00

Venue: Lecture Hall

Speaker:Chen Wan万忱（Rutgers University）

Title: A local twisted trace formula for Whittaker induction of coregular symmetric pairs

Abstract: In this talk, I will discuss the geometric expansion of a local twisted trace formula for the Whittaker induction of any symmetric pairs that are coregular. This generalizes the local (twisted) trace formula for reductive groups proved by Arthur and Waldspurger. As a consequence of the trace formula, we prove a simple local trace formula of those models for strongly cuspidal test functions which implies a multiplicity formula for these models. I will also present various applications of the trace formula and multiplicity formula, including a necessary condition for a discrete L-packet to contain a representation with a unitary Shalika model (resp. a Galois model for classical groups) in terms of the associated Langlands parameter, and we also compute the summation of the corresponding multiplicities for certain discrete L-packets. This is a joint work with Raphael Beuzart-Plessis.

简介：万忱，于2017年在美国明尼苏达大学获得博士学位，2017年-2018年、2018-2020年分别在普林斯顿高等研究院、麻省理工学院从事博士后研究工作，并于2020年起在美国罗格斯大学担任助理教授。主要从事表示论和自守型的研究，在Duke Math. J.、 Mem. Amer. Math. Soc.、 J. Eur. Math. Soc.等国际一流数学杂志发表多篇论文。