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Quantization of vector bundles on Lagrangian Subvarieties

Vladimir Baranovsky
(University of California - Irvine)
AaDAG-seminar
Torsdag, 15 december, 2016, at 14:00-15:00, in Aud. G1 (1532-116)
Abstrakt:
This is a joint work with my PhD student Taiji Chen. We assume that X is an algebraic symplectic variety with a fixed deformation quantization Oh of its structure sheaf. For a smooth Lagrangian subvariety Y and a vector bundle E we establish necessary and sufficient conditions for E to admit a deformation quantization to a module over Oh. I plan to finish the talk with some speculations about the Hitchin connection on the moduli space of curvesThis is a joint work with my PhD student Taiji Chen. We assume that X is an algebraic symplectic variety with a fixed deformation quantization Oh of its structure sheaf. For a smooth Lagrangian subvariety Y and a vector bundle E we establish necessary and sufficient conditions for E to admit a deformation quantization to a module over Oh. I plan to finish the talk with some speculations about the Hitchin connection on the moduli space of curves.

AaDAG seminar: Aarhus Differential Algebraic Geometry seminar
Organiseret af: QGM
Kontaktperson: Artan Sheshmani