Ampleness of vector bundles and canonical metrics

Abstract: Hartshorne ampleness of vector bundles will be introduced and a generalisation of a criterion (due to Schneider and Tancredi) to recognise ample bundles will be presented. This work is joint with Indranil Biswas. We shall also introduce differentio-geometric positivity conditions and discuss PDE that are relevant for studying the Griffiths conjecture that asserts that Hartshorne ample bundles admit Griffiths positively curved metrics.

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

Audience: researchers in the topic

Comments: By zoom.

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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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