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SUMMARY:Michael Entov (Technion)
DTSTART:20200422T111000Z
DTEND:20200422T123000Z
DTSTAMP:20260404T131148Z
UID:GDS/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GDS/1
 /">Rigidity of Lagrangian tori in K3 surfaces</a>\nby Michael Entov (Techn
 ion) as part of Geometry and Dynamics seminar\n\n\nAbstract\nA Kahler-type
  form is a symplectic form compatible with an integrable \ncomplex structu
 re. Sheridan and Smith previously proved\, using deep \nmethods of homolog
 ical mirror symmetry\, that for any Maslov-zero \nLagrangian torus L in a 
 K3 surface M equipped with a Kahler-type \nform of a *particular kind*\, t
 he integral homology class of L has \nto be non-zero and primitive. I will
  discuss how to extend this \nresult to *arbitrary* Kahler-type forms on M
  using dynamical \nproperties of the action of the diffeomorphism group of
  M on the \nspace of such forms. These dynamical properties are obtained u
 sing \na version of Ratner's theorem. This is a joint work in progress \nw
 ith M.Verbitsky.\n
LOCATION:https://stable.researchseminars.org/talk/GDS/1/
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