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Algebraic methods for the theory of deformations of Poisson brackets of hydrodynamic type

Le : 08/03/2016 14h00
Par : Matteo Casati (Sissa)
Lieu : I 001
Lien web :
Résumé : I will present the theory of multidimensional Poisson Vertex Algebras as the setting for studying Hamiltonian d+1 dimensional, n component systems of PDEs, focussing on the notion of the PVA cohomology and its relation with the deformation theory for brackets of hydrodynamic type. I will discuss a few explicit examples for the n=1, d>1 case and for the n=d=2 case. If time allows that, we will also present the results of a joint work with G.Carlet and S.Shadrin about the full cohomology for the n=1 case.