Monge-Ampere equation in hypercomplex geometry

Abstract: I will outline the state of art concerning the solvability of the so called quaternionic Monge-Ampere equation. This second order, elliptic, nonlinear PDE was introduced by Alesker and Verbisty as a device for confirming the version of Calabi conjecture on hypercomplex manifolds. Its solvability has applications also for obtaining Calabi-Yau type theorems for some classes of hermitian and hyperhermitian metrics.

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