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- Date de réalisation : 14 Juin 2016
- Durée du programme : 89 min
- Classification Dewey : Mathématiques
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- Catégorie : Cours magistraux
- Niveau : niveau Doctorat (LMD), Recherche
- Disciplines : Géométrie
- Collections : Ecoles d'été, 2016
- ficheLom : Voir la fiche LOM
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- Auteur(s) : MAILLOT Sylvain
- Réalisateur(s) : Bastien Fanny
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- Langue : Anglais
- Mots-clés : Grenoble, institut fourier, summer school, geometric analysis, metric geometry, topology, open 3-manifolds, CNRS , UGA
- Conditions d’utilisation / Copyright : CC BY-NC-ND 4.0
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Sylvain Maillot - An introduction to open 3-manifolds (Part 2)
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.
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