PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Boris Kalinin, Stephanie Zerby, Anatole Katok, Federico Rodriguez Hertz, Dmitri Burago.

Title:The dynamics of Kuperberg flows
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Steve Hurder, University of Illinois at Chicago
Abstract:
In 1993 the Seifert Conjecture was resolved by Krystyna Kuperberg, who constructed, for any 3-manifold, a smooth flow with no periodic orbits. Kuperberg introduced a completely new type of ``aperiodic plug'' for flows, that was used to trap their periodic orbits. The dynamical properties of the flows constructed via her method have remained only partly understood. The work described in this talk, which is joint with Ana Rechtman, explores their properties in greater depth. We introduce the notion of a "zippered lamination", and show that there exists an invariant zippered lamination for a generic Kuperberg flow. The study of the dynamics of zippered laminations leads to a precise description of the topology and dynamical properties of the minimal set for a generic Kuperberg flow, including a type of chaotic behavior with non-trivial entropy.

Room Reservation Information

Room Number:MB114
Date:04 / 24 / 2013
Time:03:35pm - 04:35pm