Sep 20

Title: Stability of the action of a hyperbolic group on its boundary

Speaker: Jason Manning (Cornell University)

Abstract: A hyperbolic group can be compactified in a nice way by its Gromov boundary, and the left action of the group on itself extends to an action by homeomorphisms on this space. We show that this action is dynamically stable, in the sense that any perturbation of the action is related to the standard action by a semi-conjugacy (an equivariant surjection). Our proof additionally gives information about what form the semi-conjugacy can take. This is joint work with Katie Mann and Teddy Weisman.

NOTE: This talk will be over Zoom.