Title: Growth of Bianchi modular forms
Speaker: Weibo Fu
Speaker Info: Princeton University
Brief Description:
Special Note:
Abstract:
In this talk, I will establish a sharp bound on the growth of cuspidal Bianchi modular forms. By the Eichler-Shimura isomorphism, we actually give a sharp bound of the second cohomology of a hyperbolic three manifold (Bianchi manifold) with local system arising from the representation Sym^k \otimes \overline{Sym^k} of SL_2(C). I will explain how a p-adic algebraic method is used for deriving our result.Date: Friday, May 13, 2022