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SUMMARY:Lagrangian multiform theory and variational principle for integrab
 le systems - Nijhoff\, F (University of Leeds)
DTSTART:20130710T083000Z
DTEND:20130710T090000Z
UID:TALK46158@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:During the DIS programme of 2009 Lobb and Nijhoff introduced a
  novel point of view on the Lagrangian theory of systems integrable in the
  sense of multidimensional consistency. The key observation was that suita
 bly chosen Lagrangians obey a "closure" relation when embedded in multidim
 ensional\, discrete or continuous\, space-time and subject to the equation
 s of the motion. The apparent universality of this phenomenon has now been
  confirmed for many integrable systems\, both continuous and discrete with
  defining equations in one\, two and three dimensions. From a physics poin
 t of view this could set a new paradigm for least-action principles in phy
 sics where the Lagrangian itself is a solution of a system of generalized 
 Euler-Lagrange equations\, and where the geometry in the embedding space i
 s a variational variable together with the field variables.\n
LOCATION:Seminar Room 1\, Newton Institute
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