报告人：王英男  学校：深圳大学

时间：2020年11月10日星期二，上午9:00-10:00

地点：腾讯会议  会议ID: 635 866 905

标题：Average bound toward the Generalized Ramanujan Conjecture and its applications on Sato-Tate laws for $GL(n)$

摘要：For any prime $p$ and Hecke-Maass form $\phi$ on $GL(n)$ $(n\geq2)$, $\alpha_{\phi,1}(p),\ldots,\alpha_{\phi,n}(p)$ denote the corresponding Satake parameters of $\phi$ at $p$. The Generalized Ramanujan Conjecture (GRC) asserts that $|\alpha_{\phi,i}(p)|=1$, $i=1,\ldots,n$. In this talk we will discuss the number of Hecke-Maass forms whose Satake parameters at any fixed prime $p$ fail GRC, and its applications on the (vertical) Sato-Tate laws. This is a joint work with Lau Yuk-Kam and Ng Ming Ho.

邀请人：赵立璐教授