Dynamical Systems Seminar

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

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.

Date: Tuesday, May 27, 2008
Time: 3:00pm
Where: Lunt 105
Contact Person: Prof. Pat Hooper
Contact email: wphooper@math.northwestern.edu
Contact Phone: 847-491-2853
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