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<title><string language="fre"><![CDATA[P. Castillon - CAT(k)-spaces 3]]></string></title>
<language>ENG</language>
<description>
<string language="fre"><![CDATA[The purpose of this course is to 
introduce the synthetic treatment of sectional curvature upper-bound on 
metric spaces. The basic idea of A.D. Alexandrov was to characterize the
curvature bounds on the sectional curvature of a Riemannian manifold in
term of properties of its distance function, and then to consider 
metric spaces with these properties. This approach turned out to be very
fruitful and it found many applications, bringing geometric ideas to 
other settings.
In this course we will introduce 
the metric spaces with a curvature upper-bound in the sense of 
Alexandrov, and derive some of their geometric properties. The subject 
is very vast and it is not possible to be exhaustive in the limited time
of this course. We will concentrate on some properties, both local and 
global, emphasizing that these metric spaces share many properties with 
manifolds of bounded curvature.]]></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[CAT(K)]]></string></keyword><keyword><string language="fre"><![CDATA[spaces]]></string></keyword>
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<date><dateTime>2021-06-17</dateTime></date>
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