Speaker
Zhongkai Tao, IHES
Abstract
On a finite-area hyperbolic surface with cusps, we prove that L^2 eigenfunctions cannot concentrate too much deep in the cusps as the eigenvalue goes to infinity. For arithmetic surfaces, a stronger estimate was known due to Soundararajan. Our result uses the nonlinear uncertainty principle developed by Cohen and Dyatlov. This is joint work with Alex Cohen and Zhenhao Li.
Zhongkai Tao [WS1]: Escape of mass for finite-area hyperbolic surfaces
Date: 2026-09-24
Time: 15:45 - 16:45