Seminario del 2004

Aprile
15
2004
Prof. Amnon Yekutieli Ben Gurion University
On Deformation Quantization in Algebraic Geometry
SEMINARIO INTERDISCIPLINARE
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.
organizzato da: Prof. Angelo Vistoli

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