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Groups acting on dendrites

Ponente: Bruno Duchesne
Institución: Université de Lorraine
Tipo de Evento: Investigación
Cuándo 17/11/2016
de 13:00 a 14:30
Dónde Salon de Seminarios Graciela Salicrup
Agregar evento al calendario vCal
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A dendrite is a locally connected compact metrizable space such that any two points are connected by a unique arc. Dendrites may appear as Julia sets, Berkovich projective lines and played in important role in the proof of the cut point conjecture for boundaries of hyperbolic groups by Bowditch.
In a common work with Nicolas Monod, we study groups acting on dendrites by homeomorphisms. In this purely topological context, we obtain rigidity results for lattices of algebraic groups and an analog of Tits alternative.
We also study an uncountable family of dendrites whose homeomorphism groups are simple and pairwise non-isomorphic.