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SUMMARY:Egor Shelukhin (Montreal)
DTSTART:20210510T010000Z
DTEND:20210510T020000Z
DTSTAMP:20260423T024558Z
UID:IBSCGP/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IBSCGP/13/">
 Lagrangian configurations and Hamiltonian maps</a>\nby Egor Shelukhin (Mon
 treal) as part of IBS-CGP weekly zoom seminar\n\n\nAbstract\nWe study conf
 igurations of disjoint Lagrangian submanifolds in certain low-dimensional 
 symplectic manifolds from the perspective of the geometry of Hamiltonian m
 aps. We detect infinite-dimensional flats in the Hamiltonian group of the 
 two-sphere equipped with Hofer's metric\, showing in particular that this 
 group is not quasi-isometric to a line. This answers a well-known question
  of Kapovich-Polterovich from 2006. We show that these flats in Ham(S^2) s
 tabilize to certain product four-manifolds\, prove constraints on Lagrangi
 an packing\, find new instances of Lagrangian Poincare recurrence\, and pr
 esent a new hierarchy of normal subgroups of area-preserving homeomorphism
 s of the two-sphere. The technology involves Lagrangian spectral invariant
 s in symmetric product orbifolds. This is joint work with Leonid Polterovi
 ch.\n
LOCATION:https://researchseminars.org/talk/IBSCGP/13/
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