Seminar

Stability is a strong quasiconvexity property which generalizes the classical notion of convex cocompactness from Kleinian groups, as well as the analogous notion in mapping class groups.  In this talk, I will discuss what is currently known about stability, including various characterizes of stability and tools for identifying stable subgroups of important groups, such as mapping class groups, Out(F_n), relatively hyperbolic groups, and hierarchically hyperbolic groups.  This talk involves joint work (in various combinations) with Samuel Taylor, Carolyn Abbott, Tarik Aougab, Jason Behrstock, and Matthew Cordes.