Date：June28th, 16:00-17:00

Location：Lecture hall

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.

Introduction of Speaker：

Chen Wan obtained his doctoral degree from the University of Minnesota in 2017, and worked as a postdoctoral researcher at the Princeton Institute of Advanced Studies and the Massachusetts Institute of Technology from 2017 to 2018 and 2018 to 2020, respectively. He has been serving as an assistant professor at Rutgers University since 2020. Mainly engaged in research on representation theory and self preservation, at Duke Math J. Mem Amer Math Soc., J. Eur. Math International first-class mathematical journals such as Soc. have published multiple papers.