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Integrable Systems with Matrix variables

Le : 16/05/2013 16h30
Par : Vladimir SOKOLOV (Institut de Landau, Moscou)
Lieu : I001
Lien web :
Résumé : We consider first the Korteweg- de Vries equations both for scalar and matrix-valued functions. We stress the role of bi-Hamiltonian structures for an integrability of these models. We describe also some bi-Hamiltonian systems related to matrix or more generally to unital associative algebras. The importance of trace Poisson brackets on representation spaces of the algebras is discussed.