EVENT DETAILS AND ABSTRACT

Title: Persistence of stratifications of laminations
Speaker: Professor Pierre Berger
Speaker Info: Stony Brook University
Brief Description:
Special Note:
Abstract:

We introduce stratifications of laminations. They are (Mather) stratified spaces with laminations as strata. Then we discuss their persistence when they are preserved by an endomorphism of a manifold.

Our main result generalizes the celebrated theorem of Hirsch-Pugh-Shub on persistance of normally hyperbolic and plaque-expansive laminations. We will illustrate our result with various applications such as the persistence of normally expanded submanifolds with boundary or corners, as stratifications ; the persistence of some product structures in product dynamics ; and the persistence of laminations on a manifold that are not normally hyperbolic.