Seminar

Department of Mathematics

Monday, March 17rd, 2008 at 3PM

BA6183, 40 St. George Street

DYNAMICAL SYSTEMS SEMINAR -- Persistence of stratifications of normally expanded laminations.

Pierre Berger

SUNY Stony Brook

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.