Seminar at SMU Delhi

January 18, 2017 (Wednesday) , 3:30 PM at Webinar
Speaker: Kaneenika Sinha, IISER Pune
Title: Fluctuations of Hecke eigenvalues
Abstract of Talk
The distribution laws for families of eigenvalues of Hecke operators on cusp forms as one varies different parameters have been widely investigated. In this talk, we explore the number of eigenvalues with angles in a prescribed interval. While the asymptotic behaviour of this quantity is already known, we derive the variance and show that the fluctuations (when suitably normalized) are Gaussian. This is joint work with Neha Prabhu.