Shadowing of actions of hyperbolic groups on their boundaries

Abstract: I will give a quick introduction to general Gromov hyperbolic metric spaces, in particular hyperbolic groups, and their boundaries. A very useful way of studying hyperbolic groups is via their canonical actions on their boundaries. I will discuss a very recent result of K. Mann et al that such actions are topologically stable (although this was apparently hinted by Gromov in his paper on hyperbolic groups from 1987) and present my result that these actions in fact have the so-called shadowing (a.k.a. pseudo-orbit tracing) property, which implies the topological stablity as a corollary.

mathematical physicsalgebraic topologydifferential geometryrepresentation theorystatistics theory

Audience: researchers in the topic

( video )

Prague-Hradec Kralove seminar Cohomology in algebra, geometry, physics and statistics

Series comments: Virtual coffee starts on Zoom already 15 minutes before the seminar.