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TZID:Europe/Vienna
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DTSTART:20190331T030000
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DTSTART:20191027T020000
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BEGIN:VEVENT
DTSTAMP:20260404T080540Z
UID:5c3337d55e1a3007748319@ist.ac.at
DTSTART:20190919T133000
DTEND:20190919T153000
DESCRIPTION:Speaker: Alice B. Tumpach\nhosted by Tamas Hausel\nAbstract: Th
 e aim of this talk is to give an interpretation in terms of Poisson geomet
 ry of the algebro-geometric solutions of the Korteweg-de-Vries hierarchy c
 onstructed by Segal and Wilson in 1985. The central object in this theory 
 is the restricted Grassmannian\, which is an homogeneous Ka ?hler Hilbert 
 manifold. We construct a generalized Banach Poisson-Lie group structure on
  the unitary restricted group\, as well as on a Banach Lie group consistin
 g of (a class of) upper triangular bounded operators. We show that the res
 tricted Grassmannian inherites a Bruhat-Poisson structure from the unitary
  restricted group. Furthermore the action of the triangular Banach Lie gro
 up on it by dressing transformations generates the KdV hierarchy (as was p
 ointed out by Segal and Wilson)\, and its orbits are the Schubert cells of
  the restricted Grassmannian.
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Alice B. Tumpach: Bruhat-Poisson structure of the restricted Grassm
 annian and the KdV hierarchy
URL:https://talks-calendar.ista.ac.at/events/2156
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