Curvatures in generalized Kähler geometry

Abstract: Generalized Kähler geometry is an extension of Kähler geometry, with origins in supersymmetric string theory, which involves a pair of Hermitian complex structures on a Riemannian manifold or, equivalently, a pair of generalized complex structures on an exact Courant algebroid. I will introduce the various curvatures that appear in generalized Kähler geometry, and give some relations between them. In particular, I will explain how the generalized Kähler-Ricci flow is related to the canonical bundles of the two generalized complex structures.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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