13 résultats : manifolds

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13 résultats
page 1 sur 2
résultats 1 à 10
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
Sylvain Maillot - An introduction to open 3-manifolds (Part 2)
Description : 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 ...
Mots clés : Grenoble, institut fourier, summer school, geometric analysis, metric geometry, topology, open 3-manifolds, CNRS, UGA
Date : 14-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Sylvain Maillot - An introduction to open 3-manifolds (Part 2)
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Canal-U
Sylvain Maillot - An introduction to open 3-manifolds (Part 1)
Description : 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 ...
Mots clés : Grenoble, CNRS, institut fourier, summer school, geometric analysis, metric geometry, topology, UGA, open 3-manifolds
Date : 13-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Sylvain Maillot - An introduction to open 3-manifolds (Part 1)
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Canal-U
Sylvain Maillot - An introduction to open 3-manifolds (Part 3)
Description : 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 ...
Mots clés : Grenoble, institut fourier, summer school, geometric analysis, metric geometry, topology, open 3-manifolds, CNRS, UGA
Date : 15-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Sylvain Maillot - An introduction to open 3-manifolds (Part 3)
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Canal-U
Sylvain Maillot - An introduction to open 3-manifolds (Part 4)
Description : 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 ...
Mots clés : Grenoble, institut fourier, summer school, geometric analysis, metric geometry, topology, open 3-manifolds, CNRS, UGA
Date : 16-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Sylvain Maillot - An introduction to open 3-manifolds (Part 4)
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Canal-U
Vladimir Markovic - Harmonic quasi-isometries between negatively curved manifolds
Description : Very recently, Markovic, Lemm-Markovic and Benoist-Hulin, established the existence of a harmonic mapping in the homotopy class of an arbitrary quasi-isometry between rank 1 symmetric spaces. I will discuss these results and the more general conjecture which states that this result holds for qua ...
Mots clés : Grenoble, manifolds, UGA, topology, metric geometry, geometric analysis, summer school, institut fourier, CNRS, quasi-isometries
Date : 28-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Vladimir Markovic - Harmonic quasi-isometries between negatively curved manifolds
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Canal-U
T. Ozuch - Noncollapsed degeneration and desingularization of Einstein 4-manifolds
Description : We study the noncollapsed singularity formation of Einstein 4-manifolds. We prove that any smooth Einstein 4-manifold close to a singular one in a mere Gromov-Hausdorff (GH) sense is the result of a gluing-perturbation procedure that we develop. This sheds light on the structure of the moduli ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, Einstein 4-manifolds, noncollapsed degeneration, noncollapsed desingularization
Date : 29-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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T. Ozuch - Noncollapsed degeneration and desingularization of Einstein 4-manifolds
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Canal-U
A. Song - On the essential minimal volume of Einstein 4-manifolds
Description : Given a positive epsilon, a closed Einstein 4-manifold admits a natural thick-thin decomposition. I will explain how, for any delta, one can modify the Einstein metric to a bounded sectional curvature metric so that the thick part has volume linearly bounded by the Euler characteristic and ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, minimal volume, Einstein 4-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. Song - On the essential minimal volume of Einstein 4-manifolds
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