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Modified Double Poisson Brackets

Le : 22/03/2017 11h00
Par : Semeon Arthamonov (Rutgers et ITEP, Moscou)
Lieu : I 001
Lien web :
Résumé : In my talk I will show how one can modifiy definition of double Poisson brackets by M. Van den Bergh to take into account non-skew-symmetric double brackets. It appears that major properties of the double Poisson brackets hold in the more general context. In particular, modified double Poisson brackets induce conventional Poisson brackets on the moduli space of representations. I will provide a number of essential examples of modified brackets. And, as an application will consider a noncommutative ODE proposed by M. Kontsevich and will present it in a generalized Hamilton form.