Event time:
Tuesday, November 7, 2017 - 4:15pm to 5:15pm
Speaker:
Jayce Getz
Speaker affiliation:
Duke UniversityIAS
Event description:
Let V1, V2, V3 be a triple of even dimensional vector spaces. Assume that each Vi is equipped with a nondegenerate quadratic form Qi. Motivated by ideas of Braverman, Kazhdan, Lafforgue,Ngo, and Sakellaridis we prove a Poisson summation formula for the subscheme ofV1 +V2+V3consisting of vectors (v1,v2,v3) such that Q1(v1)=Q2(v2)=Q3(v3). The key idea in the proof is to substitute theta functionsinto Garrett's integral representation of the triple product L function.