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SUMMARY:An explicit construction of the complex of variational calculus an
 d Lie conformal algebra cohomology - Kac\, V (MIT)
DTSTART:20090326T153000Z
DTEND:20090326T163000Z
UID:TALK17545@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Lie conformal algebras encode the singular part of the operato
 r product expansion of chiral fields in conformal field theory\, and\, at 
 the same time\, the local Poisson brackets in the theory of soliton equati
 ons. That is why they form an essential part of the vertex algebra and Poi
 sson vertex algebra theories. The structure and cohomology theory of Lie c
 onformal algebras was developed about 10 years ago. In a recent joint work
  with Alberto De Sole we show that the Lie conformal algebra cohomology ca
 n be used to explicitly construct the complex of calculus of variations\, 
 which is the resolution of the variational derivative map of Euler and Lag
 range.
LOCATION:Seminar Room 1\, Newton Institute
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