Classifying Pseudo-Anosov Flows on 3-Manifolds - Lecture 1

Explore the intricacies of classifying pseudo-Anosov flows on 3-manifolds in this engaging lecture by Kathryn Mann from Cornell University. Delve into the collaborative work with Barthelmé, Fenley, and Frankel as they tackle this complex topic. Discover how the dynamics of the fundamental group's action on the orbit space, a bifoliated plane, and its circle-at-infinity compactification are studied to transform the flow into a discrete dynamical system. Learn about the newly introduced toolkit for examining Anosov-like actions on bifoliated planes and its broader applications. Gain insights into the tools used, their relevance to flow studies, and potential future directions in researching Anosov-like actions on the plane. This 53-minute lecture, part of the Simons Semester on Dynamics, offers a deep dive into advanced mathematical concepts and their practical applications in the field of dynamical systems.