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SUMMARY:Konstantin Druzhkov
DTSTART:20251112T162000Z
DTEND:20251112T180000Z
DTSTAMP:20260423T010528Z
UID:GDEq/139
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/139/">I
 nvariant reduction for PDEs. III: Poisson brackets</a>\nby Konstantin Druz
 hkov as part of Geometry of differential equations seminar\n\n\nAbstract\n
 I will show that\, under suitable conditions\, finite-dimensional systems 
 describing invariant solutions of PDEs inherit local Hamiltonian operators
  through the mechanism of invariant reduction\, which applies uniformly to
  point\, contact\, and higher symmetries. The inherited operators endow th
 e reduced systems with Poisson bivectors that relate constants of invarian
 t motion to symmetries. The induced Poisson brackets agree with those of t
 he original systems\, up to sign. At the core of this construction lies th
 e interpretation of Hamiltonian operators as degree-2 conservation laws of
  degree-shifted cotangent equations.\n
LOCATION:https://researchseminars.org/talk/GDEq/139/
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