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UID:20251018T195340EDT-2840mJPgCR@132.216.98.100
DTSTAMP:20251018T235340Z
DESCRIPTION:Title: Lagrangian configurations and Hamiltonian maps\n\nAbstra
 ct: Lagrangian configurations and Hamiltonian maps\, (abstract) We study c
 onfigurations of disjoint Lagrangian submanifolds in certain low-dimension
 al symplectic manifolds from the perspective of the geometry of Hamiltonia
 n maps. We detect infinite-dimensional flats in the Hamiltonian group of t
 he two-sphere equipped with Hofer's metric\, showing in particular that th
 is group is not quasi-isometric to a line. This answers a well-known quest
 ion of Kapovich-Polterovich from 2006. We show that these flats in Ham(S^{
 2}) stabilize to certain product four-manifolds\, prove constraints on Lag
 rangian packing\, find new instances of Lagrangian Poincare recurrence\, a
 nd present a new hierarchy of normal subgroups of area-preserving homeomor
 phisms of the two-sphere. The technology involves Lagrangian spectral inva
 riants with Hamiltonian term in symmetric product orbifolds. This is joint
  work with Leonid Polterovich.\n\nPlease visit: https://dms.umontreal.ca/~
 cornea/Seminar.html\n
DTSTART:20210319T131500Z
DTEND:20210319T144500Z
SUMMARY:Egor Shelukhin (Université de Montréal)
URL:/mathstat/channels/event/egor-shelukhin-universite
 -de-montreal-329592
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