Speaker: Debmalya Basak (Max Planck Institute for Mathematics, Bonn)

Title : Surfaces Associated to Zeros of Automorphic L-functions

Abstract : Assuming the Riemann Hypothesis, Montgomery established results concerning pair correlation of zeros of the Riemann zeta function. Rudnick and Sarnak extended these results to automorphic L-functions and all level correlations. We show that automorphic L-functions exhibit additional geometric structures related to the correlation of their zeros. This is joint work with Cruz Castillo and Alexandru Zaharescu.