10 Apr 2008; Mat-Nat Faculty (UiTø), room A228. Thursday 12:15-14:00

Boris Kruglikov

”Classical and Quantum Integrability”.

This is a general lecture on quantum integrability (assuming classical integrability in Liouville sense is known). I'll show some examples and relations to quantization functor, taken briefly in our paper with Valentin Lychagin (http://arxiv.org/abs/math/0610930), where we use our compatibility criterion (Multi-brackets of differential operators and compatibility). Then I will review recent results by M.D.Garay and D.van Straten (http://arxiv.org/abs/0802.1647), based on commutative algebra and formal symplectic geometry.