Groups actions on dendrites

52 mins 53 secs,  434.91 MB,  WebM  640x360,  29.97 fps,  44100 Hz,  1.09 Mbits/sec
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Description: Duchesne, B (Université de Lorraine)
Wednesday 11th January 2017 - 14:30 to 15:30
 
Created: 2017-01-27 10:48
Collection: Non-Positive Curvature Group Actions and Cohomology
Publisher: Isaac Newton Institute
Copyright: Duchesne, B
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: Co-author: Nicolas Monod (EPFL)

A dendrite is a 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, an analog of Tits alternative, simplicity and other topological results.

Related Links

https://arxiv.org/abs/1609.00303 - Preprint on arXiv
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