Brane quantization and generalized Kahler structures

(15 octobre 2021 / October 15, 2021) Atelier sur les géométries spéciales des variétés riemanniennes / Workshop on Special Geometries on Riemannian Manifolds Marco Gualtieri (University of Toronto, Canada) Brane quantization and generalized Kahler structures Résumé / Abstract: We will explore the ramifications of the idea that a generalized Kahler metric is a Lagrangian brane in a symplectic Morita equivalence which itself has a space filling brane. This pair of branes, one Lagrangian and one space-filling, allow us to implement a version of the Gukov-Witten quantization procedure, leading to a noncommutative algebra quantizing the Hitchin Poisson structure. This is based on the joint work with Francis Bischoff (https://arxiv.org/abs/2108.01658)