Andrés Koropecki - Boundary dynamics for surface homeomorphisms
Channel: Centro de Matemática
Date: 2018-11-13

Andrés Koropecki (Universidad Federal Fluminense) 

I will talk about joint works with P. Le Calvez and M. Nassiri which describe the dynamics of a surface homeomorphism in the boundary of a simply connected invariant domain in terms of the prime ends rotation numbers. This description is particularly successful in the area-preserving setting, where a Poincaré-like classification is obtained. I will also overview other recent results about the interplay between the restricted dynamics and the topology of the boundary of such a domain.

Workshop on Groups, Geometry and Dynamics, 23–27 July 2018, Montevideo, Uruguay.

https://ggdworkshop.cmat.edu.uy/

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