Monday, September 29, 2014 at 2:30 PM in SAS 4201
Vladimir Baranovsky, University of California Irvine
Deformation quantization: obstructions to existence and graph complexes
We explain older and recent results concerning existence of quantization of algebraic symplectic manifolds. We are interested in two questions: when can we quantize regular functions on a smooth algebraic symplectic variety, and if that is possible, when can a module over regular functions be quantized as well. We also outline some expected relation between obstructions to such existence, and the graph complex. Joint work with V. Ginzburg, D. Kaledin and J. Pecharich.
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