Seminario interdisciplinare
ore
16:00
presso Seminario II
Abstract:
We study deformation quantization of Poisson algebraic varieties. Using
the universal deformation formulas of Kontsevich, and an algebro-geometric
approach to the bundle of formal coordinate systems over a smooth variety
X, we prove existence of deformation quantization of the sheaf of
functions O_X (assuming the vanishing of certain cohomologies). Under
slightly stronger assumptions we can classify all such deformations.