Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Perturbing the action of a hyperbolic group on its boundary
Speaker: Jason Manning, Cornell University
Date: August 16, 2021
Time: 18:30:00 Hours
Venue: via Zoom
Abstract: A hyperbolic group $G$ comes with an action by homeomorphisms on its Gromov boundary. In general this boundary is some compact metrizable space which can have complicated local topology, but sometimes it is a manifold (for example if $G$ is the fundamental group of a closed negatively curved manifold). We show that the action of a torsion free hyperbolic group on its boundary is topologically stable, assuming that boundary is a manifold.
Title of Talk: Perturbing the action of a hyperbolic group on its boundary
Speaker: Jason Manning, Cornell University
Date: August 16, 2021
Time: 18:30:00 Hours
Venue: via Zoom
Abstract: A hyperbolic group $G$ comes with an action by homeomorphisms on its Gromov boundary. In general this boundary is some compact metrizable space which can have complicated local topology, but sometimes it is a manifold (for example if $G$ is the fundamental group of a closed negatively curved manifold). We show that the action of a torsion free hyperbolic group on its boundary is topologically stable, assuming that boundary is a manifold.