Séminaire Gaston Darboux
Friday 29 May 2026 à 11:30 - Salle 430
Sophie Wright ()
Random covers of hyperbolic surfaces
Given a closed hyperbolic surface, I will discuss random covers whose fundamental group is isomorphic to the free group F_k. What do we expect such a cover to look like? I will show that, asymptotically, the covers distribute according to a probability measure on the moduli space of metric graphs. This allows us to determine expected properties of covers, with some nice explicit results for k=2.