International Seminar on Automorphic Forms

Miao Gu (University of Michigan): The fiber bundle method applied to triple product L-functions

The Poisson summation conjecture of Braverman-Kazhdan, L. Lafforgue, Ngô, and Sakellaridis predicts that spherical varieties (or Whittaker induction thereof) over a global field admit a theory of Fourier analysis, including a generalized Poisson summation formula. The fiber bundle method is a technique for proving the Poisson summation conjecture for spherical varieties that can be written as a family of simpler spherical varieties for which the Poisson summation conjecture is known. In this talk, I will first explain how to relate a generalized Whittaker induction to triple product L-functions. Then I will explain the fiber bundle method and describe an approach to applying it to prove the expected analytic properties of the triple product L-functions. This is joint work with Jayce Getz, Chun-Hsien Hsu, and Spencer Leslie.

https://tu-darmstadt.zoom.us/j/68048280736