48 résultats : topology

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48 résultats
page 4 sur 5
résultats 31 à 40
Canal-U
Jean-Marc Schlenker - Anti-de Sitter geometry and polyhedra inscribed in quadrics
Description : Anti-de Sitter geometry is a Lorentzian analog of hyperbolic geometry. In the last 25 years a number of connections have emerged between 3-dimensional anti-de Sitter geometry and the geometry of hyperbolic sufaces. We will explain how the study of ideal polyhedra in anti-de Sitter space leads to ...
Mots clés : Grenoble, CNRS, institut fourier, summer school, geometric analysis, metric geometry, topology, Anti-de Sitter, polyhedra
Date : 29-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Jean-Marc Schlenker - Anti-de Sitter geometry and polyhedra inscribed in quadrics
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Canal-U
Juan Souto - Counting curves on surfaces
Description : An old theorem of Huber asserts that the number of closed geodesics of length at most L on a hyperbolic surface is asymptotic to $frac{e^L}L$. However, things are less clear if one either fixes the type of the curve, possibly changing the notion of length, or if one counts types of curves. Here, ...
Mots clés : Grenoble, curves, surfaces, topology, metric geometry, geometric analysis, summer school, institut fourier, CNRS, UGA
Date : 28-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Juan Souto - Counting curves on surfaces
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Canal-U
Jeff Viaclovsky - Deformation theory of scalar-flat Kahler ALE surfaces
Description : I will discuss a Kuranishi-type theorem for deformations of complex structure on ALE Kahler surfaces, which will be used to prove that for any scalar-flat Kahler ALE surface, all small deformations of complex structure also admit scalar-flat Kahler ALE metrics. A local moduli space of scalar-flat ...
Mots clés : Grenoble, scalar-flat, UGA, topology, metric geometry, geometric analysis, summer school, institut fourier, CNRS, Khäler ALE surfaces
Date : 30-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Jeff Viaclovsky - Deformation theory of scalar-flat Kahler ALE surfaces
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Canal-U
Genevieve Walsh - Boundaries of Kleinian groups
Description : We study the problem of classifying Kleinian groups via the topology of their limit sets. In particular, we are interested in one-ended convex-cocompact Kleinian groups where each piece in the JSJ decomposition is a free group, and we describe interesting examples in this situation.  In certain ...
Mots clés : Grenoble, CNRS, institut fourier, summer school, geometric analysis, metric geometry, topology, UGA, Kleinian groups
Date : 28-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Genevieve Walsh - Boundaries of Kleinian groups
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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
Robert Young - Quantitative rectifiability and differentiation in the Heisenberg group
Description : (joint work with Assaf Naor) The Heisenberg group $mathbb{H}$ is a sub-Riemannian manifold that is unusually difficult to embed in $mathbb{R}^n$. Cheeger and Kleiner introduced a new notion of differentiation that they used to show that it does not embed nicely into $L_1$. This notion is based on ...
Mots clés : Grenoble, CNRS, institut fourier, summer school, geometric analysis, metric geometry, topology, UGA, Heisenberg group
Date : 01-07-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Robert Young - Quantitative rectifiability and differentiation in the Heisenberg group
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Canal-U
Thomas Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 2)
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 : 14-06-2016
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 2)
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Canal-U
Thomas Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 3)
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 : 14-06-2016
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 3)
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Canal-U
Thomas Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 5)
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 : 16-06-2016
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 5)
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Canal-U
Robert Haslhofer - The moduli space of 2-convex embedded spheres
Description : We investigate the topology of the space of smoothly embedded n-spheres in R^{n+1}, i.e. the quotient space M_n:=Emb(S^n,R^{n+1})/Diff(S^n). By Hatcher’s proof of the Smale conjecture, M_2 is contractible. This is a highly nontrivial theorem generalizing in particular the Schoenflies theorem and ...
Mots clés : Grenoble, CNRS, institut fourier, summer school, geometric analysis, metric geometry, topology, UGA, moduli space
Date : 30-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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Robert Haslhofer - The moduli space of 2-convex embedded spheres
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