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SUMMARY:Alejandro Cabrera (Universidade Federal do Rio de Janeiro)
DTSTART:20250715T140000Z
DTEND:20250715T150000Z
DTSTAMP:20260423T022717Z
UID:Geolis/172
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/172/"
 >Numerical approximation of Hamiltonian flows on Poisson manifolds and gro
 upoid multiplication</a>\nby Alejandro Cabrera (Universidade Federal do Ri
 o de Janeiro) as part of Geometria em Lisboa (IST)\n\n\nAbstract\nThe idea
  is to construct numerical integrator methods for Hamiltonian type of ODE
 ’s which are defined in an ambient Poisson geometry. The goal is to appr
 oximate the exact dynamical solutions of this ODE while\, at the same time
 \, preserve the Poisson structure to a certain controlled degree. This is 
 a non-trivial and long-range generalization of the notion of symplectic me
 thod in which the Poisson geometry is non-degenerate\, thus\, symplectic. 
 We first outline a first approach to such methods which uses the geometry 
 of so-called approximate symplectic realizations based on recent joint wor
 k with D. Martín de Diego and M. Vaquero. Finally\, we describe a second 
 approach based on theoretical results coming from Lie-theoretic aspects an
 d which use an underlying groupoid multiplication\, based on work in progr
 ess with D. Iglesias and J.C. Marrero.\n
LOCATION:https://researchseminars.org/talk/Geolis/172/
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