Prime ends and boundary dynamics for surface homeomorphisms

Jeudi 22 mars 14:00-15:00 - Andres Koropecki - Universidade Federal Fluminense (Brésil)

Résumé : I will talk about a joint work with P. Le Calvez and M. Nassiri which relates the dynamics of a planar homeomorphism in the boundary of a simply connected open invariant set U with the corresponding dynamics induced in Carathéodory’s prime ends compactification of U. I will focus in the case where the prime ends rotation number is rational and the dynamics area-preserving, in which case we obtain a description of the dynamics very similar to what happens in the circle, as well as strong restrictions on the topology of the boundary of U.

Lieu : Institut de Mathématique d’Orsay, salle 2L8

Notes de dernières minutes : Café culturel à 13h par Sylvain Crovisier.

Prime ends and boundary dynamics for surface homeomorphisms  Version PDF