BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Georgios Dimitroglou Rizell (Uppsala) DTSTART:20210426T080000Z DTEND:20210426T090000Z DTSTAMP:20260423T024515Z UID:IBSCGP/7 DESCRIPTION:Title: L agrangian Poincaré Recurrence via pseudoholomorphic foliations\nby Ge orgios Dimitroglou Rizell (Uppsala) as part of IBS-CGP weekly zoom seminar \n\n\nAbstract\nFor any Hamiltonian displaceable closed curve inside a clo sed symplectic surface\, there is a bound on the number of pairwise disjoi nt Hamiltonian isotopic copies of the curve that one can produce. This phe nomenon is called Lagrangian Poincaré Recurrence\, and it was only shown very recently by Polterovich and Shelukhin that there exist displaceable L agrangians in higher dimension that satisfy the analogous property. In thi s work in progress joint with E. Opshtein\, we use the technique of pseudo holomorphic foliations to show that the bound on the number of disjoint co pies in the surface persists after increasing the dimension by the followi ng stabilisation: take the cartesian product of the symplectic surface wit h a sufficiently small symplectic annulus\, and take the product of the cu rve with the with the core of the annulus to produce a Lagrangian torus.\n LOCATION:https://researchseminars.org/talk/IBSCGP/7/ END:VEVENT END:VCALENDAR