Spectral gap of random hyperbolic surfacesMPIM

by Ivan Yakovlev (MPIM)

Tuesday Jul 14, 2026, 4:30 PM → 5:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Seminar Room (Max Planck Institute for Mathematics)

Reading group on spectral geometry

I will report on recent results of Hide-Magee, Anantharaman-Monk, Hide-Macera-Thomas proving that random hyperbolic surfaces of large genus have near optimal spectral gap. I will mention results from random graph theory that inspired much of the work on surfaces, and I will try to highlight some ideas from the works mentioned above.