## EVENT DETAILS AND ABSTRACT

**Number Theory**
**Title:** The local trace formula for the Ginzburg-Rallis model and the generalized Shalika model

**Speaker:** Chen Wan

**Speaker Info:** Institute for Advanced Study

**Brief Description:**

**Special Note**:

**Abstract:**

We will first discuss a local trace formula for the Ginzburg-Rallis model. This trace formula allows us to prove a multiplicity formula for the Ginzburg-Rallis model, which implies that the summation of the multiplicities on every tempered Vogan L-packet is always equal to 1. Then we will talk about an analogy of this trace formula for the generalized Shalika model, which implies that the multiplicity for the generalized Shalika model is a constant on every discrete Vogan L-packet.

**Date:** Monday, October 16, 2017

**Time:** 4:00PM

**Where:** Lunt 107

**Contact Person:** Yifeng Liu

**Contact email:** liuyf@math.northwestern.edu

**Contact Phone:**

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