Statistical hyperbolicity of Teichmuller spaces

Abstract: The notion of statistical hyperbolicity introduced by Duchin-Lelievre-Mooney encapsulates whether a space is on average hyperbolic at large scales, that is, whether average distance between pairs of points on large spheres of radius R is 2R. In this talk, I will explain how Teichmuller spaces are statistically hyperbolic with respect to stationary measures arising random walks on mapping class groups. This is joint work with Aitor Azemar and Luke Jeffreys and extends previous work of Dowdall-Duchin-Masur.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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The livestream is on Zoom at : uqam.zoom.us/j/98999725241 (no password is needed).

The recorded talks can be found at CIRGET channel : www.youtube.com/channel/UCLkFm-uEvXSf9y-iQtWOLWA