Genericity of pseudo-Anosovs and quasi-isometries

Inhyeok Choi (Cornell)

Abstract: In this talk, I will explain the solution to a question by Farb that stems from Nielsen-Thurston classification. Namely, I will explain why pseudo-Anosovs are generic with respect to every word metric on the mapping class group. If time allows, I will explain how it generalizes to hierarchically hyperbolic groups and CAT(0) groups, and possibly groups quasi-isometric to them.