## Paris/Berkeley/Bonn/Zürich Analysis Seminar: Resonances and spectral gap of random hyperbolic surfaces

Seminar | October 10 | 9:10-10 a.m. | 238 Sutardja Dai Hall

Frédéric Naud, Sorbonne Université

Department of Mathematics

In this talk we will define a notion of random (infinite volume) covers of surfaces modeled over a classical model of random regular graphs. We will then investigate the spectral gap of those random surfaces as the degree goes to infinity and prove an explicit a.a.s. result that generalizes the famous 3/16 of Selberg. Joint work with Michael Magee.

zworski@math.berkeley.edu