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.