Smooth Models for Certain Partially Hyperbolic Systems

Explore a 21-minute lecture on smooth models for certain partially hyperbolic systems, presented by Margaret Doucette from the University of Chicago as part of the Simons Semester on Dynamics. Delve into the proof that fibered partially hyperbolic systems over nilmanifolds, under specific fiber restrictions, are leaf conjugate to smooth models. Examine how these models maintain isometry on the fibers and descend to hyperbolic nilmanifold automorphisms on the base. Gain insights into advanced mathematical concepts and their applications in dynamical systems theory.