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SUMMARY:Thomas Barthelmé (Queen's University)
DTSTART:20231013T150000Z
DTEND:20231013T161500Z
DTSTAMP:20260423T022737Z
UID:CIRGET/105
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/105/"
 >Group actions on bifoliated planes and classification of (pseudo)-Anosov 
 flows in dimension 3</a>\nby Thomas Barthelmé (Queen's University) as par
 t of CRM - Séminaire du CIRGET / Géométrie et Topologie\n\nLecture held
  in PK-5115.\n\nAbstract\nAn old problem in dynamical systems is to try to
  classify Anosov flows up to orbit-equivalence. This question is particula
 rly interesting in dimension 3 where we both have lots of examples and a r
 ich\, but still poorly understood\, relationships between the dynamics of 
 the flow and the topology of the manifold. By a result of T. Barbot\, clas
 sifying Anosov flows (or more general pseudo-Anosov flows) in dimension 3 
 up to orbit equivalence restricts to classifying\, up to conjugacy\, certa
 in actions of \\pi_1(M) on the orbit space\, a topological plane with two 
 transverse foliations.  \n\nIn this talk\, I will recall the above and dis
 cuss a new complete invariant for transitive (pseudo)-Anosov flows which o
 ften reduces to just knowing which conjugacy classes in \\pi_1(M) are repr
 esented by periodic orbits of the flow. \n\nIf time permits\, I’ll talk 
 about some applications with link to contact geometry. This is all joint w
 ork with Kathryn Mann\, Steven Frankel and Sergio Fenley.\n
LOCATION:https://researchseminars.org/talk/CIRGET/105/
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