Convex co-compact groups and relative hyperbolicity

Abstract: The notion of convex co-compact groups generalizes convex co-compact Kleinian groups from rank one Lie groups to higher rank Lie groups, like PGL_d(R) for d at least three. This generalization encompasses many interesting examples coming from Anosov subgroups and non-Gromov hyperbolic reflection groups. In this talk, we will discuss a geometric property (namely, strongly isolated simplices) that completely characterizes relatively hyperbolic convex co-compact groups (with peripheral subgroups virtually Abelian of rank at least two). This is joint work with Andrew Zimmer.

algebraic topologydifferential geometrygeneral topologygroup theorygeometric topology

Audience: researchers in the topic

Ohio State Topology and Geometric Group Theory Seminar

Series comments: https://sites.google.com/view/topoandggt