Colloquium: Kathryn Mann (Cornell University)

3:00–4:00 pm Eckhart Hall, Room 202

Anosov Fllows on 3-Manifolds

Anosov flows are a fascinating class of dynamical systems, generalizing and including geodesic flows on manifolds of negative curvature.  These systems exhibit "local chaos but global stability" - individual orbits diverge wildly, but the systems as a whole are stable under perturbation.  This stability means there is some hope to classify them by discrete algebraic invariants.  Even on 3-dimensional spaces, this is an interesting and challenging problem.   In this talk, I will describe some of the history and motivation for classification (dating back to work of Anosov and Smale in the 60s), connections with low-dimensional geometric topology, and will describe recent joint work with Barthelmé, Bowden, Frankel and Fenley (in various combinations) giving answering one thread of the classification problem in dimension 3.  

Event Type


Oct 25