48 résultats : geometric analysis

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48 résultats
page 3 sur 5
résultats 21 à 30
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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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
Laurent Mazet - Minimal hypersurfaces of least area
Description : In this talk, I will present a joint work with H. Rosenberg where we give a characterization of the minimal hypersurface of least area in any Riemannian manifold. As a consequence, we give a lower bound for the area of a minimal surface in a hyperbolic 3-manifold.
Mots clés : Grenoble, CNRS, institut fourier, summer school, geometric analysis, metric geometry, topology, hypersurfaces, UGA
Date : 27-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Laurent Mazet - Minimal hypersurfaces of least area
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Canal-U
Laurent Mazet - Some aspects of minimal surface theory (Part 1)
Description : In a Riemannian 3-manifold, minimal surfaces are critical points of the area functional and can be a useful tool to understand the geometry and the topology of the ambient manifold. The aim of these lectures is to give some basic definitions about minimal surface theory and present some results ...
Mots clés : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric analysis, metric geometry, topology
Date : 14-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Laurent Mazet - Some aspects of minimal surface theory (Part 1)
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Canal-U
Laurent Mazet - Some aspects of minimal surface theory (Part 3)
Description : In a Riemannian 3-manifold, minimal surfaces are critical points of the area functional and can be a useful tool to understand the geometry and the topology of the ambient manifold. The aim of these lectures is to give some basic definitions about minimal surface theory and present some results ...
Mots clés : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric analysis, metric geometry, topology
Date : 15-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Laurent Mazet - Some aspects of minimal surface theory (Part 3)
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Canal-U
Laurent Mazet - Some aspects of minimal surface theory (Part 5)
Description : In a Riemannian 3-manifold, minimal surfaces are critical points of the area functional and can be a useful tool to understand the geometry and the topology of the ambient manifold. The aim of these lectures is to give some basic definitions about minimal surface theory and present some results ...
Mots clés : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric analysis, metric geometry, topology
Date : 17-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Laurent Mazet - Some aspects of minimal surface theory (Part 5)
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Canal-U
Thomas Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 1)
Description : The goal of these lectures is to introduce some fundamental tools in the study of manifolds with a lower bound on Ricci curvature. We will first state and prove the laplacian comparison theorem for manifolds with a lower bound on the Ricci curvature, and derive some important consequences : ...
Mots clés : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric analysis, metric geometry, topology
Date : 13-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Thomas Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 1)
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Canal-U
Thomas Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 4)
Description : The goal of these lectures is to introduce some fundamental tools in the study of manifolds with a lower bound on Ricci curvature. We will first state and prove the laplacian comparison theorem for manifolds with a lower bound on the Ricci curvature, and derive some important consequences : ...
Mots clés : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric analysis, metric geometry, topology
Date : 15-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Thomas Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 4)
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Canal-U
Melanie Rupflin - Horizontal curves of metrics and applications to geometric flows
Description : On closed surfaces there are three basic ways to evolve a metric, by conformal change, by pull-back with diffeomorphisms and by horizontal curves, moving orthogonally to the first two types of evolution. As we will discuss in this talk, horizontal curves are very well behaved even if the underlying ...
Mots clés : Grenoble, curves, UGA, topology, metric geometry, geometric analysis, summer school, institut fourier, CNRS, geometric flows
Date : 30-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Melanie Rupflin - Horizontal curves of metrics and applications to geometric flows
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Canal-U
Stéphane Saboureau - Sweep-outs, width estimates and volume
Description : Sweep-out techniques in geometry and topology have recently received a great deal of attention, leading to major breakthroughs. In this talk, we will present several width estimates relying on min-max arguments in relation to the volume of Riemannian manifolds. Dealing with the case of surfaces ...
Mots clés : Grenoble, CNRS, institut fourier, summer school, geometric analysis, metric geometry, topology, UGA, sweep-outs
Date : 29-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Stéphane Saboureau - Sweep-outs, width estimates and volume
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