Seminar talk, 12 May 2010

From Geometry of Differential Equations
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Speaker: Alexander Verbovetsky

Title: On classification of Poisson vertex algebras

Abstract:
In the paper Poisson vertex algebras in the theory of Hamiltonian equations by A. Barakat, A. De Sole, V.G. Kac, Japan. J. Math. 4 (2009), 141–252, arXiv:0907.1275, authors have shown the equivalence between the notion of the Poisson vertex algebra on algebras of differential functions (functions on jet spaces) with one independent variable and the notion of the Hamiltonian operator. The talk will discuss the new paper On classification of Poisson vertex algebras by A. De Sole, V.G. Kac, and M. Wakimoto, arXiv:1004.5387, where the language of Poisson vertex algebras is applied to the classification of Hamiltonian operators.

References:
Video recording of the lecture "On classification of Poisson vertex algebras" by V.G. Kac at the Isaac Newton Institute on 26 June 2009

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