Big Picard theorem for varieties admitting nilpotent harmonic bundles

Abstract: The big Picard theorem states that any holomorphic map from the punctured disk into the Riemann sphere avoiding three points must extend across the origin. In this talk I will explain a generalized big picard theorem for quasi-compact Kähler manifolds U endowed with a nilpotent harmonic bundle whose Higgs field is injective at one point. Moreover, we prove that there is a finite unramified cover V of U from a quasi-projective manifold V so that the big Picard theorem holds for any projective compactification of V. This work is based on the joint work with Benoit Cadorel.

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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