Title: Fourier-Jacobi model over real: a non-tempered approach.

报告人: 陈睿 (浙江大学) 腾讯会议：475-475-749

时间: 2022/12/14 19:00-20:00

Abstract: In this talk we will discuss the Fourier-Jacobi case of GGP conjecture over real. It has been proved by Hang Xue recently in the unitary case using some explicit intertwining integrals, and working in progress by Zhe Li, Shanwen Wang and Hang Xue in the symplectic-metaplectic case using the same method. We provide a different approach. Instead of explicit intertwining integrals, we consider some non-tempered Bessel and Fourier-Jacobi models arising from certain stable range seesaw diagrams, and then using the Mackey theory to study those non-tempered models. This is a joint work with Cheng Chen and Jialiang Zou.