Westlake Math Colloquium第十二期 | Fangyang Tian: The Rankin-Selberg Method of L-Functions, Variants and Applications

2022-06-27 12:43:21

时间2022年7月1日(周五)16:00-17:00

地点西湖大学云谷校区E4-233

主持人: 理论科学研究院 关力凡博士

主讲人: 浙江大学 田昉暘教授


讲座主题The Rankin-Selberg Method of L-Functions, Variants and Applications

讲座摘要Integral representations of L-functions have been used over the years to study the analytic behavior of L-functions, such as analytic continuation and functional equation. In this talk, we will give a survey on a specific type of integral representation - the Rankin-Selberg type. We will explain the standard procedure to develop a Rankin-Selberg theory, the technical obstructions that we must overcome in the process. The last part of the talk is devoted to addressing some applications of Rankin-Selberg method. If time permits, we will extend the scope of classical Rankin-Selberg theory and mention its multivariable variant.