Title: Application of a delta method towards analytic twists of modular forms.

Speaker: Yongxiao Lin (École Polytechnique Fédérale de Lausanne)

Abstract: In a preprint jointly by Aggarwal, Holowinsky, the speaker and Sun, we were able to use a ‘trivial’ delta symbol method to obtain non-correlation of modular forms against Dirichlet character of large modulus. Such a result is of arithmetic nature. In this talk we will explain, when one comes to analytic aspect, how a simple delta method can be introduced to obtain non-correlation of modular forms against exponential factors of certain oscillatory phase. We will present several particular cases of our main result, including a Weyl-type subconvexity bound for modular form L-functions in the t-aspect. This is joint work with Aggarwal, Holowinsky and Qi.

Time/Venue: 2019.8.30  10:00-11:00  B1044