48 résultats : eem2021

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48 résultats
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Canal-U
Description : I will present recent work with Kleiner in which we verify two topological conjectures using Ricci flow. First, we classify the homotopy type of every 3-dimensional spherical space form. This proves the Generalized Smale Conjecture and gives an alternative proof of the Smale Conjecture, which ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics
Date : 21-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
Canal-U
Description : I will present recent work with Kleiner in which we verify two topological conjectures using Ricci flow. First, we classify the homotopy type of every 3-dimensional spherical space form. This proves the Generalized Smale Conjecture and gives an alternative proof of the Smale Conjecture, which ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics
Date : 22-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
Canal-U
Description : I will present recent work with Kleiner in which we verify two topological conjectures using Ricci flow. First, we classify the homotopy type of every 3-dimensional spherical space form. This proves the Generalized Smale Conjecture and gives an alternative proof of the Smale Conjecture, which ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics
Date : 23-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
Canal-U
Description : I will present recent work with Kleiner in which we verify two topological conjectures using Ricci flow. First, we classify the homotopy type of every 3-dimensional spherical space form. This proves the Generalized Smale Conjecture and gives an alternative proof of the Smale Conjecture, which ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics
Date : 24-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
Canal-U
Description : The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-bound on metric spaces. The basic idea of A.D. Alexandrov was to characterize the curvature bounds on the sectional curvature of a Riemannian manifold in term of properties of its distance function, ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, CAT(K), spaces
Date : 14-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
Canal-U
Description : The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-bound on metric spaces. The basic idea of A.D. Alexandrov was to characterize the curvature bounds on the sectional curvature of a Riemannian manifold in term of properties of its distance function, ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, CAT(K), spaces
Date : 17-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
Canal-U
Description : We propose a class of local definitions of weak lower scalar curvature bounds that is well defined for C0 metrics. We show the following: that our definitions are stable under greater-than-second-order perturbation of the metric, that there exists a reasonable notion of a Ricci flow starting ...
Mots clés : Grenoble, scalar curvature, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, Ricci flows
Date : 01-07-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
Canal-U
Description : The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-bound on metric spaces. The basic idea of A.D. Alexandrov was to characterize the curvature bounds on the sectional curvature of a Riemannian manifold in term of properties of its distance function, ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, CAT(K), spaces
Date : 15-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
Canal-U
Description : The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-bound on metric spaces. The basic idea of A.D. Alexandrov was to characterize the curvature bounds on the sectional curvature of a Riemannian manifold in term of properties of its distance function, ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, CAT(K), spaces
Date : 18-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
Canal-U
Description : This is a series of lectures on Bishop--Gromov's type inequalities adapted to metric spaces. We consider the case of Gromov-hyperbolic spaces and draw consequences of these inequalities such as compactness and finiteness Theorems. This course is intended to be elementary in the sense that the ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, Gromov-Hyperbolic spaces
Date : 14-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0