Event time:
Tuesday, November 7, 2017 - 4:15pm to 5:15pm
Location:
LOM 205
Speaker:
Jayce Getz
Speaker affiliation:
Duke University, IAS
Event description:
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_3). The key idea in the proof is to substitute theta functions into Garrett’s integral representation of the triple product L function.