Morita equivalence and the generalized Kahler potential (Francis Bischoff, University of Toronto)

12.12.2018 10:00 – 12:00

I will present a new approach to Generalized Kahler geometry in which a GK structure of symplectic type can be described in terms of a holomorphic symplectic Morita equivalence along with a brane bisection. This solves the problem of identifying the underlying holomorphic degrees of freedom in GK geometry. I will then explain how this new approach can be applied to the problem of describing a GK structure in terms of holomorphic data and a single real-valued function (the generalized Kahler potential) and show how this can be used to explicitly produce new examples of GK metrics. If time permits I will also discuss applications to the deformation of GK metrics. This is based on the paper arXiv:1804.05412 [math.DG], joint with Marco Gualtieri and Maxim Zabzine.

Lieu

Bâtiment: Battelle

Villa Battelle, Séminaire "Groupes de Lie et espaces des modules"

entrée libre