报告人：严盼（University of Arizona）

邀请人：张庆

报告时间：2023年11月2日（星期四）14:30-16:00

                 2023年11月3日（星期五）10:00-11:30

报告地点：Zoom：935 6255 8812

报告题目：Product of Rankin-Selberg convolutions and a new proof of Jacquet's local converse conjecture（Ⅰ、Ⅱ）

报告摘要：We construct a family of integrals which represent the product of Rankin-Selberg L-functions of GL(l)\times GL(m) and of GL(l)\times GL(m) when m+n<l. When n=0, these integrals are those defined by Jacquet--Piatetski-Shapiro--Shalika up to a shift. We study basic properties of these integrals. In particular, we define local gamma factors using this new family of integrals. 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.