Seminar Event Detail


Group, Lie and Number Theory

Date:  Monday, November 13, 2017
Location:  3088 East Hall (5:30 PM to 7:00 PM)

Title:  A summation formula for triples of quadratic spaces (Note special time and room)

Abstract:   (joint work with B. Liu) Let V_1, V_2, V_3 be a triple of even dimensional vector spaces. Assume that each V_i is equipped with a nondegenerate quadratic form Q_i. Motivated by ideas of Braverman, Kazhdan, Lafforgue, Ngo, and Sakellaridis we prove a Poisson summation formula for the subscheme of V_1 +V_2+V_3 consisting of vectors (v_1,v_2,v_3) such that Q_1(v_1)=Q_2(v_2)=Q_3(v_2). The key idea in the proof is to substitute theta functions into Garrett's integral representation of the triple product L function.

Files:


Speaker:  Jayce Getz
Institution:  Duke University

Event Organizer:   Shuyang Cheng   

 

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