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SUMMARY:Anosov flows\, foliations\, and their classificaiton - Kathryn  Ma
 nn (Cornell University)
DTSTART:20240617T083000Z
DTEND:20240617T093000Z
UID:TALK217378@talks.cam.ac.uk
DESCRIPTION:Anosov flows on 3-manifolds are dynamical systems generalizing
  the behavior of geodesic flow on the unit tangent bundle of a hyperbolic 
 surface. &nbsp\;Like geodesic flows\, they come with two transverse\, inva
 riant 2-dimensional foliations which meet along the 1-dimensional foliatio
 n by orbits. &nbsp\;Because of various surgery techniques\, there are many
 \, many examples known\, and their "topological" classification is an inte
 resting and important problem both in low-dimensional geometric topology a
 nd dynamics. &nbsp\;I will describe some of this beautiful framework\, and
  then some joint work with T. Barthelm&eacute\; and S. Frankel (and more r
 ecently also with S. Fenley and C. Bonatti) on the classification problem.
  &nbsp\;Notably\, with Barthelm&eacute\; and Frankel\, we have a complete 
 invariant for transitive flows\, which in many cases reduces simply to kno
 wing the free homotopy classes represented by periodic orbits. &nbsp\; &nb
 sp\;
LOCATION:External
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