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SUMMARY:Interplay between Quantitative Aspects of LCS Geometry and Contact
  Dynamics
DTSTART:20260410T091500Z
DTEND:20260410T101500Z
DTSTAMP:20260411T160100Z
UID:indico-event-16334@indico.math.cnrs.fr
DESCRIPTION:Speakers: Pacôme van Overschelde (Université Libre de Bruxel
 les)\n\nLocally conformally symplectic (LCS) structures are a generalizati
 on of symplectic structures\, making them more abundant.  To an LCS form 
 is associated a unique closed 1-form\, called the Lee form. Historically\,
  the most studied class of LCS structures is that of the first kind.\nIn t
 his talk\, we investigate quantitative properties of exact LCS manifolds\,
  namely the homotheties of the Lee form that still produce an exact LCS fo
 rm.  This leads to the notion of elasticity of an exact LCS pair\, which 
 provides a tool to study exact LCS manifolds that are not of the first kin
 d\, but whose behaviour remains close to it.\nIn the closed case\, this al
 lows us to characterize these LCS manifolds as precisely those that are is
 omorphic to the LCS mapping torus of a contactomorphism.  As a consequenc
 e\, we obtain a lower bound on the maxima and an upper bound on the minima
  of the various conformal factors associated with a contactomorphism on a 
 closed contact manifold.\n\nhttps://indico.math.cnrs.fr/event/16334/
LOCATION:112 (ICJ)
URL:https://indico.math.cnrs.fr/event/16334/
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