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Conference abstracts

Invited talk

Friday, July 23, 14:45 ~ 15:45 UTC-3

Partially hyperbolic dynamics in hyperbolic 3-manifolds

Rafael Potrie

Universidad de la República, Uruguay   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Partially hyperbolic dynamics arise from the need to weaken the notion of uniform hyperbolicity in order to understand larger classes of dynamics. These systems can be detected with finitely many iterates and recently many results have been obtained in the direction of a general topological classification of these systems, at least in dimension 3. I will then try to present motivations and tools used to understand the dynamics and topology of partially hyperbolic systems in 3-manifolds, specially hyperbolic 3-manifolds. This includes joint works with a lot of people including T.Barthelme,C. Bonatti, S. Fenley, S. Frankel, A. Gogolev, A. Hammerlindl, K. Parwani and M. Shannon.

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