Topology, Algebraic Geometry, and Dynamics Seminar (TADS): Smooth Models for Fibered Partially Hyperbolic Systems

Speaker:  Margaret Doucette (University of Maryland)

Title:  Smooth Models for Fibered Partially Hyperbolic Systems

Abstract:   I will discuss the existence and construction of smooth models for certain fibered partially hyperbolic systems. Fibered partially hyperbolic systems are partially hyperbolic diffeomorphisms that have an integrable center bundle, tangent to a continuous invariant fibration by invariant submanifolds. I will explain how under certain restrictions on the fiber, any fibered partially hyperbolic system over a nilmanifold is leaf conjugate to a smooth model that descends to a hyperbolic nilmanifold automorphism on the base. I will then discuss how the restrictions on the fiber can be replaced by certain dynamical restrictions on the behavior of the fibered system in the center direction. This is part of a joint work in progress with Jon Dewitt and Oliver Wang. 

Time:  Friday, November 8, 1:30pm – 2:30pm

Place:  Exploratory Hall, room 4208