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SUMMARY:Shira Tanny (IAS Princeton)
DTSTART:20230104T132000Z
DTEND:20230104T143000Z
DTSTAMP:20260423T004914Z
UID:GDS/73
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/73/">Clo
 sing lemmas in contact dynamics and holomorphic curves</a>\nby Shira Tanny
  (IAS Princeton) as part of Geometry and Dynamics seminar\n\n\nAbstract\nG
 iven a flow on a manifold\, how to perturb it in order to create a periodi
 c \norbit passing through a given region? While the first results in this 
 \ndirection were obtained in the 1960-ies\, various facets of this questio
 n \nremain largely open. I will review recent advances on this problem in 
 the \ncontext of contact flows\, which are closely related to Hamiltonian 
 flows \nfrom classical mechanics. In particular\, I'll discuss a proof of 
 a \nconjecture of Irie stating that rotations of odd-dimensional ellipsoid
 s \nadmit a surprisingly large class of perturbations creating periodic or
 bits. \nThe proof involves methods of modern symplectic topology including
  \npseudo-holomorphic curves and contact homology. The talk is based on a 
 \njoint work with Julian Chaidez\, Ipsita Datta and Rohil Prasad\, as well
  \nas a work in progress joint with Julian Chaidez.\n
LOCATION:https://researchseminars.org/talk/GDS/73/
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