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SUMMARY:Abror Pirnapasov: "Reeb orbits that force topological entropy"
DTSTART;VALUE=DATE-TIME:20221026T120000Z
DTEND;VALUE=DATE-TIME:20221026T130000Z
DTSTAMP;VALUE=DATE-TIME:20221207T032900Z
UID:indico-event-8221@indico.math.cnrs.fr
DESCRIPTION:A transverse link in a contact 3-manifold forces topological e
ntropy if every Reeb flow is possessing this link as a set of periodic orb
its has positive topological entropy. We show that on every closed contact
3-manifold exists transverse knots that force topological entropy. We als
o generalize to the category of Reeb flows a beautiful result due to Denvi
r and Mackay\, which says that if a Riemannian metric on the two-dimension
al torus has a contractible closed geodesic\, then its geodesic flow has p
ositive topological entropy. All this is joint work with Marcelo Alves\, U
mberto Hryniewicz\, Matthias Meiwes\, and Pedro Salomão. \n\nhttps://i
ndico.math.cnrs.fr/event/8221/
LOCATION:435 (UMPA)
URL:https://indico.math.cnrs.fr/event/8221/
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