Date：July 19th, 16:00-17:00

Location：东7一层报告厅

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：

张磊，本科毕业于北京大学，于在美国明尼苏达大学取得博士学位，之后在波士顿学院从事博士后研究工作，随后于2014入职于新加坡国立大学。张磊主要研究领域包括表示论，自守型和Langlands纲领等问题的研究。

Welcome!