48 résultats : contraintes de courbures et espaces métriques

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48 résultats
page 2 sur 5
résultats 11 à 20
Canal-U
G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 1
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
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G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 1
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G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 2
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 : 15-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 2
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G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 3
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 : 16-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 3
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Canal-U
G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 4
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 : 17-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 4
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Canal-U
J. Fine - Knots, minimal surfaces and J-holomorphic curves
Description : I will describe work in progress, parts of which are joint with Marcelo Alves. Let L be a knot or link in the 3-sphere. I will explain how one can count minimal surfaces in hyperbolic 4-space which have ideal boundary equal to L, and in this way obtain a knot invariant. In other words the number ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, knots, minimal surfaces, J-holomorphic curves
Date : 02-07-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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J. Fine - Knots, minimal surfaces and J-holomorphic curves
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Canal-U
Y. Lai - A family of 3d steady gradient Ricci solitons that are flying wings
Description : We find a family of 3d steady gradient Ricci solitons that are flying wings. This verifies a conjecture by Hamilton. For a 3d flying wing, we show that the scalar curvature does not vanish at infinity. The 3d flying wings are collapsed. For dimension n ? 4, we find a family of Z2 × O(n ? 1) ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, Ricci solitons
Date : 30-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Y. Lai - A family of 3d steady gradient Ricci solitons that are flying wings
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Canal-U
M. Lesourd - Positive Scalar Curvature on Noncompact Manifolds and the Positive Mass Theorem
Description : The study of positive scalar curvature on noncompact manifolds has seen significant progress in the last few years. A major role has been played by Gromov's results and conjectures, and in particular the idea to use surfaces of prescribed mean curvature (as opposed to minimal surfaces). Having ...
Mots clés : Grenoble, scalar curvature, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, noncompact manifolds, positive mass theorem
Date : 01-07-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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M. Lesourd - Positive Scalar Curvature on Noncompact Manifolds and the Positive Mass Theorem
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Canal-U
C. Li - Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions
Description : In this talk, I will discuss some recent developments on the topology of closed manifolds admitting Riemannian metrics of positive scalar curvature. In particular, we will prove if a closed PSC manifold of dimension 4 (resp. 5) has vanishing ?2 (resp. vanishing ?2 and ?3), then a finite cover ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, PSC manifolds, 4 dimension, 5 dimension
Date : 30-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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C. Li - Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions
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Canal-U
A. Lytchak - Convex subsets in generic manifolds
Description : In the talk I would like to discuss some  statements and questions about convex subsets and convex hulls in generic Riemannian manifolds of dimension at least 3. The statements, obtained jointly with Anton Petrunin,  are elementary but somewhat  surprising for the Euclidean intuition. For i ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, convex subsets, generic manifolds
Date : 28-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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A. Lytchak - Convex subsets in generic manifolds
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Canal-U
A. Mondino - Time-like Ricci curvature bounds via optimal transport
Description : The goal of the talk is to present a recent work in collaboration with Cavalletti (SISSA) on optimal transport in Lorentzian synthetic spaces. The aim is to set up a “Lorentzian analog” of the celebrated Lott-Sturm-Villani theory of CD(K,N) metric measure spaces. The key idea being to analyse ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, Ricci curvature, Time-like, optimal transport, Lorentzian synthetic spaces
Date : 30-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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A. Mondino - Time-like Ricci curvature bounds via optimal transport
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