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Vidéo Année : 2016

G. Courtois - The Margulis lemma, old and new (Part 3)

Afficher 

Fanny Bastien
Pauline Martinet
  • Fonction : Monteur
  • PersonId : 987134

Résumé

The Margulis lemma describes the structure of the group generated by small loops in the fundamental group of a Riemannian manifold, thus giving a picture of its local topology. Originally stated for homogeneous spaces by C. Jordan, L. Bieberbach, H. J. Zassenhaus, D. Kazhdan-G. Margulis, it has been extended to the Riemannian setting by G. Margulis for manifolds of non positive curvature. The goal of these lectures is to present the recent work of V. Kapovitch and B. Wilking who gave a sharp version of the Margulis lemma under the assumption that the Ricci curvature is bounded below. Their method uses the structure of « Ricci limit spaces » explained by T. Richard during his lectures.

Dates et versions

medihal-01347048 , version 1 (20-07-2016)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

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  • HAL Id : medihal-01347048 , version 1

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Courtois Gilles, Fanny Bastien, Pauline Martinet. G. Courtois - The Margulis lemma, old and new (Part 3) : Summer School 2016 - Geometric analysis, metric geometry and topology. 2016. ⟨medihal-01347048⟩
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