Projective varieties whose tangent bundle contains certain positivity / Variétés projectives dont le fibré tangent contient certaine positivité

Abstract: Since the Frankel conjecture and the Hartshorne conjecture, it turns out that the positivity of tangent bundle imposes geometric constraints on the ambient manifold. In this talk, I will introduce some classic results and my recent works on these structural theorems.

Depuis la conjecture de Frankel et la conjecture de Hartshorne, il se trouve que la positivité du fibré tangent impose des contraintes géométriques sur la variété ambiante. Dans cet exposé, je vais introduire des résultats classiques et mes travaux récents sur ce genre de théorèmes structurels.

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

Audience: researchers in the topic

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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

[[Please leave your micro off when entering the seminar room and provide your family name and first name in order to be identified by the speaker.]]

The livestream is on Zoom at : uqam.zoom.us/j/98999725241 (no password is needed).

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

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