Workshop: On the distribution of closed geodesic cycle integrals and non-vanishing of central val, Petru Constantinescu

Date: 2024-01-26

Time: 09:30 - 10:30


Petru Constantinescu, École Polytechnique Fédérale de Lausanne


The study of the distribution of Heegner points and closed geodesics is an important and rich subject in analytic number theory, at the interface of automorphic forms, geometry and homogeneous dynamics. In this work, we use techniques from all these areas to study the distribution of automorphic periods associated to closed geodesics on quotient surfaces of Fuchsian groups. In particular, we show that 100% of such periods are non-vanishing when ordered by length of geodesic. We also obtain applications towards non-vanishing of central values of Rankin-Selberg L-functions. Joint work with Asbjørn Nordentoft.