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One-dimensional actions of 3-manifold groups

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lundi 04 novembre 2019 vendredi 08 novembre 2019
+ Google Map Institut de Mathématiques de Bourgogne

Description: Group actions on manifolds constitute a very active subject nowadays, which lies at the interface between geometry, dynamical systems and geometric group theory. Actions of fundamental groups of closed surfaces are by far the most studied objects, because of the deep relationship with hyperbolic geometry and more generally Teichmüller theory. Although of similar geometric nature, actions of fundamental groups of hyperbolic 3-manifolds have not received much attentions. From a geometric and group-theoretical point of view, these groups have been a very central object in the last decade, so the time seems appropriate to investigate more their one-dimensional dynamics. The aim of this workshop is to gather international experts of the fields to describe the state of the art, and to try settling the basis for a more general theory.

The workshop will feature introductory mini-courses and discussion sessions to explore possible new directions.

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