Hyperkähler metrics via deformation theory

Abstract: Hyperkähler structures are special holonomy metrics with a particularly rich geometry. I will discuss methods for constructing such metrics, and the weaker notion of hypercomplex structures, using the theory of deformation of complex structures. As a consequence, we obtain new hyperkähler metrics on certain Lie groupoids, namely, integrations of holomorphic Poisson surfaces, by using results on the deformation theory of such surfaces.

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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