Derived Algebraic Geometry and Deformation Quantization
Algebraic Geometry
2014-04-11 v4 Algebraic Topology
Quantum Algebra
Abstract
This is a report on recent progress concerning the interactions between derived algebraic geometry and deformation quantization. We present the notion of derived algebraic stacks, of shifted symplectic and Poisson structures, as well as the construction of deformation quantization of shifted Poisson structures. As an application we propose a general construction of the quantization of the moduli space of -bundles on an oriented space of arbitrary dimension.
Cite
@article{arxiv.1403.6995,
title = {Derived Algebraic Geometry and Deformation Quantization},
author = {Bertrand Toen},
journal= {arXiv preprint arXiv:1403.6995},
year = {2014}
}
Comments
Contribution to the ICM 2014 (a bit more typos corrected, ref added)