Cours/Séminaire
Notice
Langue :
Anglais
Crédits
Fanny Bastien (Réalisation), Sylvain Maillot (Intervention)
Conditions d'utilisation
CC BY-NC-ND 4.0
DOI : 10.60527/f9rs-q981
Citer cette ressource :
Sylvain Maillot. I_Fourier. (2016, 13 juin). Sylvain Maillot - An introduction to open 3-manifolds (Part 1) , in 2016. [Vidéo]. Canal-U. https://doi.org/10.60527/f9rs-q981. (Consultée le 9 novembre 2024)

Sylvain Maillot - An introduction to open 3-manifolds (Part 1)

Réalisation : 13 juin 2016 - Mise en ligne : 16 septembre 2016
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Descriptif

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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