Seminars & Colloquia Calendar

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Topology/Geometry Seminar

Stability of the action of a hyperbolic group on its boundary

Jason Manning (Cornell University)

Location:  Online (Click on the Zoom link)
Date & time: Tuesday, 20 September 2022 at 4:00PM - 5:00PM

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.

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