Keith Burns - Openness of accessibility with three dimensional center
Channel: Centro de Matemática
Date: 08/11/2018

Keith Burns (Northwestern Univeristy) 

Openness of accessibility with three dimensional center

Consider partially hyperbolic diffeomorphisms with an invariant splitting into three bundles — unstable, center, and stable.

Didier showed that if the center bundle is one dimensional, then the property of accesibility is open, i.e. it persists under small pertrubations of the diffeomorphism. More recently Avila and Viana showed that same is true when the center bundle is two dimensional. The talk will describe an effort to adapt Avila and Viana’s technique to show that accessibility is still open when the center bundle is three dimensional. This is joint work with Jana Rodriguez Hertz and Raul Ures.

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

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

Este vídeo fue filmado y editado por el proyecto OpenFING ( https://open.fing.edu.uy )