Some geometric applications of Hodge theory

Abstract: Modern Hodge theory is both a subject of study in its own right and a subject that is used in many areas of current mathematical research, especially in but no means restricted to algebraic geometry. This talk will be an informal and partial overview of some of its uses with emphasis on those in algebraic geometry. We will also discuss some of the historical development of the subject; how did it originate and how did it get to its current state? Here the emphasis will be on the period up until the time of Hodge and will only touch on a few of the major recent milestones.

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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