Back to Algebraic Geometry Seminar: Fall 2010
Algebraic Geometry Seminar
Date: Tuesday, Sep 7, 2010
Time: 3:30PM - 4:30PM
Location: LCB 323
Jeremy Pecharich
UC Irvine
Title |
Deformation Quantization of Vector Bundles |
Abstract |
Let X be an algebraic Poisson variety and Y a smooth coisotropic subvariety with a vector bundle E supported on Y. We give a criterion for when E admits a first/second order deformation as a left module over the first/second order deformation quantization of O_X. We will then show noncommutative module deformations are controlled by a curved dg Lie algebra which reduces to the classical relative Hochschild complex when the Poisson structure is trivial. Part of this work is joint with Vladimir Baranovsky and Victor Ginzburg. |
Algebraic Geometry