【学术报告】L-functions for symplectic groups

报告人：严盼（美国亚利桑那大学）

时 间：2023年4月25日上午9:00

地 点：Zoom会议ID：885 1870 6968（无密码）

内容摘要:

The theory of L-functions of automorphic forms or automorphic representations is one of the central topics in modern number theory. A fruitful way to study L-functions is through an integral formula, commonly referred to as an integral representation. The most common examples of Eulerian integrals are the ones which unfold to a unique model such as the Whittaker model. Integrals which unfold to non-unique models fall outside of this paradigm, and there are only a few such examples which are known to represent L-functions. In this talk, we prove a conjecture of Ginzburg-Soudry [2020 IMRN] on an integral representation for the tensor product partial L-function for Sp(4)×GL(2) which is derived from the generalized doubling method of Cai-Friedberg-Ginzburg-Kaplan. We show that the integral unfolds to a non-unique model and analyze it using the New Way method of Piatetski-Shapiro—Rallis. If time permits, we will also discuss generalization of this result to higher rank groups (which is a joint work with Yubo Jin).

个人简介：

严盼，美国亚利桑那大学博士后，2022年美国俄亥俄州立大学数学系博士毕业。主要研究方向为自守表示，L-函数，p-adic群的表示论。

联系人：易少云