Limit theorems for quantum modular forms on Fuchsian groupsMPIM

by Jungwon Lee (University of Warwick/MPIM)

Wednesday May 28, 2025, 2:30 PM → 3:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

Number theory lunch seminar

We discuss the statistical aspects of the quantum modular form, which was introduced by Zagier in terms of a near-modularity property on the set of rational cusps. Examples include classical modular symbols and central values of additive twists rank 2 L-functions. We outline the main ideas for the proof of their limit laws coming from dynamics and hyperbolic geometry (joint with Sandro Bettin and Sary Drappeau).