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Nombre de programmes trouvés : 26749
Cours magistraux

le (1h23m9s)

A. Song - What is the (essential) minimal volume? 2

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 developed by Cheeger, Gromov, Fukaya and others to describe bounded sectional curvature metrics. Most of my talks will be focused on presenting the main aspects of this theory: thick-thin decomposition, F-structures and ...
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Cours magistraux

le (1h32m53s)

C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 2

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 theorems that may be applied to prove these open questions including older techniques developed with Lakzian, with Huang and Lee, and with Portegies.  I will also present key new results of Allen and Perales.   Students and postdocs interested in ...
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Cours magistraux

le (1h32m42s)

R. Bamler - Uniqueness of Weak Solutions to the Ricci Flow and Topological Applications 3

I will present recent work with Kleiner in which we verify two topological conjectures using Ricci flow. First, we classify the homotopy type of every 3-dimensional spherical space form. This proves the Generalized Smale Conjecture and gives an alternative proof of the Smale Conjecture, which was originally due to Hatcher. Second, we show that the space of metrics with positive scalar curvature on every 3-manifold is either contractible or empty. This completes work initiated by Marques. At the heart of our proof is a new ...
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Cours magistraux

le (1h26m58s)

A. Song - What is the (essential) minimal volume? 3

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 developed by Cheeger, Gromov, Fukaya and others to describe bounded sectional curvature metrics. Most of my talks will be focused on presenting the main aspects of this theory: thick-thin decomposition, F-structures and ...
Voir la vidéo

 
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