50 résultats : curvature

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50 résultats
page 5 sur 5
résultats 41 à 50
Canal-U
A. Song - What is the (essential) minimal volume? 4
Description : I will discuss the notion of minimal volume and some of its variants. The minimal volume of a manifold is defined as the infimum of the volume over all metrics with sectional curvature between -1 and 1. Such an invariant is closely related to "collapsing theory", a far reaching set of results ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, minimal volume
Date : 24-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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A. Song - What is the (essential) minimal volume? 4
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Canal-U
C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 4
Description : We introduce various notions of convergence of Riemannian manifolds and metric spaces.  We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature.   We close the course by presenting methods and t ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, intrinsic flat, Gromov-Hausdorff convergence
Date : 25-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 4
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Canal-U
C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 1
Description : We introduce various notions of convergence of Riemannian manifolds and metric spaces.  We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature.   We close the course by presenting methods and t ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, intrinsic flat, Gromov-Hausdorff convergence
Date : 21-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 1
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Canal-U
C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 2
Description : We introduce various notions of convergence of Riemannian manifolds and metric spaces.  We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature.   We close the course by presenting methods and t ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, intrinsic flat, Gromov-Hausdorff convergence
Date : 22-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 2
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Canal-U
C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 3
Description : We introduce various notions of convergence of Riemannian manifolds and metric spaces.  We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature.   We close the course by presenting methods and t ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, intrinsic flat, Gromov-Hausdorff convergence
Date : 24-06-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 3
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Canal-U
D. Stern - Harmonic map methods in spectral geometry
Description : Over the last fifty years, the problem of finding sharp upper bounds for area-normalized Laplacian eigenvalues on closed surfaces has attracted the attention of many geometers, due in part to connections to the study of sphere-valued harmonic maps and minimal immersions. In this talk, I'll d ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, harmonic map, spectral geometry
Date : 01-07-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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D. Stern - Harmonic map methods in spectral geometry
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Canal-U
D. Tewodrose - Limits of Riemannian manifolds satisfying a uniform Kato condition
Description : I will present a joint work with G. Carron and I. Mondello where we study Kato limit spaces. These are metric measure spaces obtained as Gromov-Hausdorff limits of smooth n-dimensional Riemannian manifolds with Ricci curvature satisfying a uniform Kato-type condition. In this context, strictly ...
Mots clés : Grenoble, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics, Riemannian manifolds, Kato condition
Date : 02-07-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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D. Tewodrose - Limits of Riemannian manifolds satisfying a uniform Kato condition
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Canal-U
J. Wang - Topological rigidity and positive scalar curvature
Description : In this talk, we shall describe some topological rigidity and its relationship with positive scalar curvature. Precisely, we will present a proof that a complete contractible 3-manifold with positive scalar curvature is homeomorphic to the Euclidean 3-space. We will furthermore explain the i ...
Mots clés : Grenoble, scalar curvature, eem2021, contraintes de courbures et espaces métriques, curvature constraints and spaces of metrics,, rigidity
Date : 01-07-2021
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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J. Wang - Topological rigidity and positive scalar curvature
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Canal-U
Burkhard Wilking - Manifolds with almost nonnegative curvature operator
Description : We show that n-manifolds with a lower volume bound v and upper diameter bound D whose curvature operator is bounded below by $-varepsilon(n,v,D)$ also admit metrics with nonnegative curvature operator. The proof relies on heat kernel estimates for the Ricci flow and shows that various smoothing ...
Mots clés : Grenoble, UGA, manifolds, topology, metric geometry, geometric analysis, summer school, institut fourier, CNRS, curvature operator
Date : 29-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Burkhard Wilking - Manifolds with almost nonnegative curvature operator
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Canal-U
B. Berndtsson - The curvature of (higher) direct images
Description : I will first discuss some earlier work on the curvature of direct images of adjoint line bundles under a smooth proper fibration, or more generally a surjective map and (maybe) some of its applications. Then I will present a general formula for the curvature of higher direct images. This ...
Mots clés : Complex analytic and differential geometry 2017, Grenoble, curvature, direct images
Date : 06-06-2017
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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B. Berndtsson - The curvature of (higher) direct images
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