报告题目: Product of Rankin-Selberg convolutions and applications
报告人: 严盼, 亚利那桑州立大学
时间: 2024年12月30日上午10点
地点: 线上zoom: //arizona.zoom.us/j/84881855882
摘要: In this talk, I will introduce a family of integrals which represent the product of Rankin-Selberg L-functions of GL(l)×GL(m) and of GL(l)×GL(n) where m+n<l. When n=0, these integrals recover those defined by Jacquet--Piatetski-Shapiro--Shalika. As an application, we obtain a new proof of Jacquet's local converse conjecture using these new integrals and Cogdell--Shahidi--Tsai's theory on partial Bessel functions. This is joint work with Qing Zhang. If time permits, I will also briefly talk about another application, to prove an algebraicity result for the special values of certain L-functions, which is a joint work with Yubo Jin.
报告人简介: 严盼，2022年毕业于俄亥俄州立大学，现于亚利桑那州立大学任职博士后，从事代数表示论的研究，已在国际期刊上发表论文多篇。
邀请人：张涵