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Vidéo Année : 2016

Genevieve Walsh - Boundaries of Kleinian group

Afficher 

Fanny Bastien
Pauline Martinet
  • Fonction : Monteur
  • PersonId : 987134

Résumé

We study the problem of classifying Kleinian groups via the topology of their limit sets. In particular, we are interested in one-ended convex-cocompact Kleinian groups where each piece in the JSJ decomposition is a free group, and we describe interesting examples in this situation. In certain cases we show that the type of Kleinian group is determined by the topology of its group boundary. We conjecture that this is not the case in general. We also determine the homeomorphism types of planar boundaries that can occur. This is joint work in progress with Peter Haissinsky and Luisa Paoluzzi.

Dates et versions

medihal-01366069 , version 1 (14-09-2016)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

  • HAL Id : medihal-01366069 , version 1

Citer

Genevieve S. Walsh, Fanny Bastien, Pauline Martinet. Genevieve Walsh - Boundaries of Kleinian group: Summer School 2016 - Geometric analysis, metric geometry and topology. 2016. ⟨medihal-01366069⟩
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