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Deformation quantization of integrable systems

Le : 24/01/2014 11h15
Par : George Sharygin (IHES et l'Universite de Moscou)
Lieu : I 103
Lien web :
Résumé : Let C\subseteq A be a commutative subalgebra in a Poisson algebra (here commutative means that the Poisson bracket in A vanishes, when restricted to C). Then we describe a series of homological obstructions that vanish if there is a deformation quantization of A, preserving the multiplication in C. In some simple case these obstruction can be interpreted in the terms of Poisson cohomology and coincide with the obstructions, obtained earlier by Garay and van Straten. (Based on joint work with D. Talalaev)