Séminaires : Séminaire Géométrie et dynamique dans les espaces de modules

Séminaire mensuel à l'Institut Henri Poincaré, plupart du temps mercredi de 14h à 15h salle Olga Ladyjenskaïa (ex-salle 01). Pour plus de détails voire la page web :

http://carlos.matheus.perso.math.cnrs.fr/seminaire/index.html

Monthly seminar at the Institute Henri Poincaré. It usually takes place on Wednesday from 2pm to 3pm at the room Olga Ladyjenskaïa (ex-room 01). For more details see

http://carlos.matheus.perso.math.cnrs.fr/seminaire/index.html

I will survey recent developments concerning the geometric properties of random hyperbolic surfaces. While in low genus a clear connection with random planar maps has recently emerged, the geometry of random hyperbolic surfaces in large genus remains largely mysterious, despite significant progress on the spectral side. Starting from the breakthrough work of Maryam Mirzakhani on Weil–Petersson random surfaces, I will discuss what is known about typical geometric features of such surfaces.