Applications of topology of three-dimensional manifolds to dynamics, I.

Dynamical Systems Working Seminar

Meeting Details

For more information about this meeting, contact Anatole Katok, Stephanie Geyer.

Speaker: Raul Ures, IMERL, Montevideo

Abstract: We will show that some tools of the theory of foliations, laminations and decompositions of 3-manifolds are very useful in the study of ergodic properties of partially hyperbolic diffeomorphisms. In this talk we plan to show what happens if a partially hyperbolic diffeomorphism does not satisfy the accessibility property. This leads to three type of obstructions that we will describe and, as a consequence, we will prove that on nilmanifolds any conservative partially hyperbolic diffeomorphism is accessible.

Room Reservation Information

Room Number: 216 McAllister

Date: 02/07/2012

Time: 3:30pm - 6:00pm