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SUMMARY:Marcelo R.R. Alves (University of Antwerp)
DTSTART:20210616T111000Z
DTEND:20210616T123000Z
DTSTAMP:20260423T024529Z
UID:GDS/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/37/">Ent
 ropy collapse versus entropy rigidity for Reeb and Finsler flows</a>\nby M
 arcelo R.R. Alves (University of Antwerp) as part of Geometry and Dynamics
  seminar\n\n\nAbstract\nThe topological entropy of a flow on a compact man
 ifold is a measure \nof complexity related to many other notions of growth
 . By celebrated \nworks of Katok and Besson-Courtois-Gallot\, the topologi
 cal entropy \nof geodesic flows of Riemannian metrics with a fixed volume 
 on a \nmanifold M that carries a metric of negative curvature is uniformly
  \nbounded from below by a positive constant depending only on M. We show 
 \nthat this result persists for all (possibly irreversible) Finsler \nflow
 s\, but that on every closed contact manifold there exists a Reeb \nflow o
 f fixed volume and arbitrarily small entropy. This is joint work \nwith Al
 berto Abbondandolo\, Murat Saglam and Felix Schlenk.\n
LOCATION:https://researchseminars.org/talk/GDS/37/
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