The Hitchin-cscK system

Abstract: A classic result in the study of Kähler metrics with special curvature properties is that the cscK equation can be realized as the moment map equation for an infinite-dimensional Kähler reduction. We present a natural hyperkähler extension of this moment map picture, obtaining a new system of equations reminiscent of Hitchin's equations for Higgs bundles. We will discuss some recent existence results, particularly obstructions to solutions to the problem.

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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The recorded talks can be found at CIRGET channel : www.youtube.com/channel/UCLkFm-uEvXSf9y-iQtWOLWA