Hello everyone,

Today we have Chi Cheuk Tsang from UC-Berkeley. The title, abstract, and (usual) link are below:

Join Zoom Meeting https://zoom.us/j/94529451960?pwd=ekkxYUsrRGt5bVdEQWJRN0JOZ04wZz09

Meeting ID: 945 2945 1960 Passcode: JSJDecomp

Topology Seminar 3:00 PM Virtual meeting Markov partitions for geodesic flows Chi Cheuk Tsang, University of California at Berkeley Host: Neil Hoffman

Abstract: Geodesic flows of negatively curved surfaces are one of the two classical families of Anosov flows on 3-manifolds. These are interesting objects to study, because, among other reasons, their periodic orbits are in one-to-one correspondence with the isotopy classes of closed curves of the surface. In this talk, we will start by introducing these geodesic flows, then explain the concept of Markov partitions, which is a useful tool for studying periodic orbits of Anosov flows in general. We will then illustrate a way of obtaining Markov partitions for these geodesic flows, via something called veering branched surfaces.

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Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman