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<title><string language="fre"><![CDATA[A. Mondino - Metric measure spaces satisfying Ricci curvature lower bounds 3]]></string></title>
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<string language="fre"><![CDATA[The idea of 
compactifying the space of Riemannian manifolds satisfying Ricci 
curvature lower bounds goes back to Gromov in the '80ies and was pushed 
by Cheeger-Colding in the ‘90ies, who investigated the structure of 
spaces arising as Gromov-Hausdorff limits of smooth Riemannian manifolds
satisfying Ricci curvature lower bounds. A completely new approach 
based on Optimal Transport was proposed by Lott-Villani and Sturm around
ten years ago; via this approach, one can give a precise sense of what 
means for a non-smooth space (more precisely for a metric measure space)
to satisfy a Ricci curvature lower bound and a dimensional upper bound.
This approach has been refined in the last years by a number of authors
(most notably Ambrosio-Gigli- Savarè) and a number of fundamental tools
have now been established, permitting to give further insights in the 
theory and applications which are new even for smooth Riemannian 
manifolds. The goal of the lectures is to give an introduction to the 
theory and discuss some of the applications.]]></string></description>
<keyword><string language="fre"><![CDATA[Grenoble]]></string></keyword><keyword><string language="fre"><![CDATA[eem2021]]></string></keyword><keyword><string language="fre"><![CDATA[contraintes de courbures et espaces métriques]]></string></keyword><keyword><string language="fre"><![CDATA[curvature constraints and spaces of metrics]]></string></keyword><keyword><string language="fre"><![CDATA[Ricci curvature]]></string></keyword><keyword><string language="fre"><![CDATA[lower bounds]]></string></keyword>
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<date><dateTime>2021-06-23</dateTime></date>
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<date><dateTime>2021-06-23</dateTime></date>
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