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SUMMARY:Egor Shelukhin
DTSTART:20210316T150000Z
DTEND:20210316T160000Z
DTSTAMP:20260423T021239Z
UID:Freemath/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/42/
 ">Lagrangian configurations and Hamiltonian maps</a>\nby Egor Shelukhin as
  part of Free Mathematics Seminar\n\n\nAbstract\nWe study configurations o
 f disjoint Lagrangian submanifolds in certain low-dimensional symplectic m
 anifolds from the perspective of the geometry of Hamiltonian maps. We dete
 ct infinite-dimensional flats in the Hamiltonian group of the two-sphere e
 quipped 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) stabilize to
  certain product four-manifolds\, prove constraints on Lagrangian packing\
 , find new instances of Lagrangian Poincare recurrence\, and present a new
  hierarchy of normal subgroups of area-preserving homeomorphisms of the tw
 o-sphere. The technology involves Lagrangian spectral invariants with Hami
 ltonian term in symmetric product orbifolds. This is joint work with Leoni
 d Polterovich.\n
LOCATION:https://researchseminars.org/talk/Freemath/42/
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