Moments of Fourier Coefficients of Symmetric Power Representations with Applications

Title: Moments of Fourier Coefficients of Symmetric Power Representations with Applications 

Speaker: Dr. Liyang Yang (California Institute of Technology)

Time: 10:00-12:00am, July15 

Location: Room 200-9, Sir Shaw Run Run Business Administration building, School of Mathematical Sciences, Yuquan Campus 

Abstract: In this talk, In this talk, we give nontrivial upper bounds for certain moments of Fourier coefficients associated to $/Sym^k/pi,$ where $/pi$ is a non-dihedral cuspidal representation of $/GL(2,/mathbb{A}_{/mathbb{Q}})$ and $1/leq k /leq 3.$ These bounds generalize known results in holomorphic case to Maass forms, without assuming Ramanujan-Petersson conjecture. Also, some applications will be discussed. 

Contact Person: Zhi Qi (zhi.qi@zju.edu.cn)