Morse boundaries are sometimes not that wild

Abstract: The Morse boundary of a metric space X is a topological space that encodes the "hyperbolic directions" of X. When X is not hyperbolic, its Morse boundary is not even metrisable, which makes it sound like it should be impossible to understand. As it turns out, however, there are various results that describe the Morse boundaries of various interesting groups, some even giving complete descriptions of the homeomorphism type. The talk will be an overview of these results.

algebraic topologyfunctional analysisgroup theorygeometric topologyoperator algebras

Audience: researchers in the topic

Vienna Geometry and Analysis on Groups Seminar