Geometry and Dynamics of Anosov groups

Francois Labourie introduced the theory of Anosov subgroups of semi-simple Lie groups in his seminal work 

on Hitchin representations. Anosov groups are now widely recognized as the higher rank generalization of convex cocompact 

subgroups of rank one Lie groups. (For our purposes, all higher rank Lie groups will be SL(d,R) and rank one Lie groups will 

all be PSL(2,R), PSL(2,C) or SO(d,1).) We will review classical results on convex cocompact subgroups of rank one Lie groups 

and discuss how they generalize into the setting of Anosov groups.