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SUMMARY:Topology of dynamically convex contact manifolds
DTSTART:20260526T091500Z
DTEND:20260526T101500Z
DTSTAMP:20260615T042300Z
UID:indico-event-16419@indico.math.cnrs.fr
DESCRIPTION:Speakers: Shahnaz Shamim Shahul\n\nDynamical convexity introdu
 ced by Hofer\, Wysocki and  Zehnder is a homological version of convexity 
 of contact manifolds that plays an important role in symplectic dynamics a
 nd topology. We shall motivate dynamical convexity and a stronger version 
 of dynamical convexity using algebraic geometry and give examples. Afterwa
 rds we will look at the obstructions imposed by dynamical convexity on the
  topology and fillability of contact manifolds. In particular I will sketc
 h a proof that unit cotangent bundles cannot be strongly dynamically conve
 x. If time permits\, I will show how symplectic homology with local coeffi
 cients can help in studying homotopy groups of dynamically convex contact 
 manifolds and their fillings.\n\nhttps://indico.math.cnrs.fr/event/16419/
LOCATION:1R2-207
URL:https://indico.math.cnrs.fr/event/16419/
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