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Sylvain Maillot - An introduction to open 3-manifolds (Part 4) | |
| Auteur(s) : MAILLOT SYLVAIN
16-06-2016
Éditeur(s) : Fanny Bastien; Description : W. Thurston's geometrization program has lead to manyoutstanding results in 3-manifold theory. Thanks to worksof G. Perelman, J. Kahn and V. Markovic, D. Wise, and I. Agol among others, compact 3-manifolds can now beconsidered to be reasonably well-understood.By contrast, noncompact 3-manifolds remainmuch more mysterious. There is a series of examples,beginning with work of L. Antoine and J. H. C. Whitehead,which show that open 3-manifolds can exhibit wildbehavior at infinity. No comprehensive structure theoryanalogous to geometrization à la Thurston is currently availablefor these objects In these lectures, we will focus on two aspects of the subject: (1) constructing interesting examples, and (2) finding sufficientconditions that rule out exotic examples, in particular inconnection with Riemannian geometry. Mots-clés libres : Grenoble, institut fourier, summer school, geometric analysis, metric geometry, topology, open 3-manifolds, CNRS, UGA Classification générale : Mathématiques Accès à la ressource : http://www.canal-u.tv/video/institut_fourier/sylva... rtmpt://fms2.cerimes.fr:80/vod/institut_fourier/sy... Conditions d'utilisation : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0 | DONNEES PEDAGOGIQUES Type pédagogique : cours / présentation Niveau : doctorat DONNEES TECHNIQUES Format : video/x-flv Taille : 2.51 Go Durée d'exécution : 1 heure 10 minutes 42 secondes |
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