Quasi-möbius maps of Morse boundaries

Nom de l'orateur
Matthew Cordes
Etablissement de l'orateur
ETH Zürich
Date et heure de l'exposé
Lieu de l'exposé
salle des séminaires

Boundaries of hyperbolic groups can tell you a great deal about the group. For instance, one can show two groups are not quasi-isometric by showing their boundaries are not homeomorphic. Paulin showed that under the right conditions you can show that two groups with homeomorphic boundaries are quasi-isometric. By restricting to rays satisfying the Morse property, one can define an analogous boundary for more general groups. Inspired by the theorem of Paulin, we give precise conditions for when a homeomorphism between the Morse boundaries of two groups is induced by a quasi-isometry of the groups themselves. This is joint work with Ruth Charney and Devin Murray.