## EVENT DETAILS AND ABSTRACT

**Number Theory**
**Title:** An invariant bilinear form on the space of automorphic forms

**Speaker:** Jonathan Wang

**Speaker Info:** University of Chicago

**Brief Description:**

**Special Note**:

**Abstract:**

Let F be a function field and G a reductive group over F. We define a bilinear form B on the space of K-finite smooth compactly supported functions on G(A)/G(F). For G = SL(2), the definition of B generalizes to the case where F is a number field (and this is expected to be true for any G). The definition of B relies on the constant term operator and the standard intertwining operator. This form is natural from the viewpoint of the geometric Langlands program via the functions-sheaves dictionary. To see this, we show the relation between B and S. Schieder's geometric Bernstein asymptotics.

**Date:** Monday, October 10, 2016

**Time:** 4:00PM

**Where:** Lunt 107

**Contact Person:** Yifeng Liu

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

**Contact Phone:**

Copyright © 1997-2024
Department of Mathematics, Northwestern University.