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Séminaire Géométrie et groupes discrets

Relatively Hyperbolic Groups with Planar Boundaries

by Prof. Geneviève Walsh (Tufts University & CIRM)

lundi 14 mai 2018 de au (Europe/Paris)
at IHES ( Amphithéâtre Léon Motchane )
Description

We will first explain the concepts of relatively hyperbolic group and the Bowditch boundary. We will then give some interesting examples of groups whose boundaries embed in the two-sphere. The most prominent family of this type is the class of geometrically finite Kleinian groups. However, we show that there are lots of relatively hyperbolic groups with planar boundaries that are not virtually Kleinian. We formulate a conjecture about which groups with planar boundary are virtually Kleinian, and prove this in a certain case. This is joint work in progress with Chris Hruska.

Organisé par Fanny Kassel
Contact Email: cecile@ihes.fr