Around the cone conjecture for hyperkähler manifolds

Abstract: The Morrison-Kawamata cone conjecture states that the automorphism group of a Calabi-Yau manifold acts with finitely many orbits on the set of faces of its ample cone. I shall sketch its proof in the hyperkähler case with some emphasis on a statement on Lie groups behind it. All results are joint work with Misha Verbitsky.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometryrepresentation theorysymplectic 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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