## EVENT DETAILS AND ABSTRACT

**Number Theory**
**Title:** Summation formulae for triples of quadratic forms

**Speaker:** Jayce Getz

**Speaker Info:** Duke University

**Brief Description:**

**Special Note**:

**Abstract:**

Braverman and Kazhdan have conjectured the existence of summation formulae that are essentially equivalent to the analytic continuation and functional equation of Langlands L-functions in great generality. Motivated by their conjectures and related conjectures of L. Lafforgue, Ngo, and Sakellaridis, Baiying Liu and I have proven a summation formula analogous to the Poisson summation formula for the subscheme cut out of three quadratic spaces (V_i,Q_i) of even dimension by the equation Q_1(V_1)=Q_2(V_2)=Q_3(V_3). I will sketch the proof of this formula.

**Date:** Monday, May 21, 2018

**Time:** 4:00PM

**Where:** Lunt 107

**Contact Person:** Yifeng Liu

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

**Contact Phone:**

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