学术报告
【学术报告】(线上) L-functions for symplectic groups
编辑:魏佳发布时间:2023年04月19日

【学术报告】L-functions for symplectic groups

报告人:严盼美国亚利桑那大学

间:2023425日上午9:00

点:Zoom会议ID885 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).

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