Overview
Explore the fascinating world of Anosov flows in this colloquium talk by Kathryn Mann from Cornell University. Delve into the concept of "local chaos but global stability" as Mann discusses these intriguing dynamical systems that generalize geodesic flows on manifolds of negative curvature. Learn about the history and motivation behind their classification, dating back to the work of Anosov and Smale in the 1960s. Discover the connections between Anosov flows and low-dimensional geometric topology, and gain insights into recent collaborative research that addresses a specific aspect of the classification problem in three dimensions. This hour-long presentation offers a comprehensive look at the challenges and progress in understanding Anosov flows on 3-manifolds, providing valuable knowledge for those interested in dynamical systems and geometric topology.
Syllabus
Colloquium: Kathryn Mann (Cornell University)
Taught by
University of Chicago Department of Mathematics