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.