Classifying Pseudo-Anosov Flows on 3-Manifolds - Lecture 2

Explore a 55-minute lecture on classifying pseudo-Anosov flows on 3-manifolds, delivered by Kathryn Mann from Cornell University as part of the Simons Semester on Dynamics. Delve into the collaborative work with Barthelmé, Fenley, and Frankel, focusing on their approach to studying the dynamics of the fundamental group's action on the orbit space of the flow. Examine how this method transforms the flow into a discrete dynamical system with hyperbolic-like behavior. Learn about the toolkit developed for studying Anosov-like actions on bifoliated planes, its applications to flow analysis, and potential future research directions. Gain insights into the compactification of the bifoliated plane by a circle at infinity and its implications for understanding pseudo-Anosov flows in three-dimensional manifolds.