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

Réalisation : 13 juin 2016 Mise en ligne : 13 juin 2016
  • document 1 document 2 document 3
  • niveau 1 niveau 2 niveau 3
  • audio 1 audio 2 audio 3

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 objectsIn 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.

Langue :
Fanny Bastien (Réalisation)
Conditions d'utilisation
Citer cette ressource:
I_Fourier. (2016, 13 juin). Sylvain Maillot - An introduction to open 3-manifolds (Part 1). [Vidéo]. Canal-U. (Consultée le 27 janvier 2022)

Dans la même collection

Avec les mêmes intervenants

Sur le même thème