From division to extension

Abstract: Extending holomorphic data from subvarieties (L2 extension) and lifting holomorphic sections of quotient bundles (L2 division) are fundamental problems in complex geometry and several complex variables. They are also intimately related: in fact, Ohsawa showed that a version of the L2 division theorem can be proved as a corollary of the L2 extension theorem. We will see how, conversely, a version of the extension theorem can be obtained as an easy corollary of a division theorem with bounded generators.

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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