Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Convex co-compact representations of non-Gromov hyperbolic groups
Speaker: Mitul Islam, University of Michigan
Date: December 21, 2020
Time: 18:00:00 Hours
Venue: via Zoom
Abstract: Convex co-compact representations are a generalization of convex co-compact Kleinian groups. These are discrete faithful representations into the projective linear group whose image acts convex co-compactly on a Hilbert geometry (i.e. a properly convex domain in real projective space). In this talk, I will discuss such representations of relatively hyperbolic groups and closed 3-manifold groups. We will study them by developing analogies between Hilbert geometry and CAT(0) geometry. Using this approach, I will prove a geometric characterization of relative hyperbolicity and also classify convex co-compact representations of closed 3-manifold groups.
Title of Talk: Convex co-compact representations of non-Gromov hyperbolic groups
Speaker: Mitul Islam, University of Michigan
Date: December 21, 2020
Time: 18:00:00 Hours
Venue: via Zoom
Abstract: Convex co-compact representations are a generalization of convex co-compact Kleinian groups. These are discrete faithful representations into the projective linear group whose image acts convex co-compactly on a Hilbert geometry (i.e. a properly convex domain in real projective space). In this talk, I will discuss such representations of relatively hyperbolic groups and closed 3-manifold groups. We will study them by developing analogies between Hilbert geometry and CAT(0) geometry. Using this approach, I will prove a geometric characterization of relative hyperbolicity and also classify convex co-compact representations of closed 3-manifold groups.