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<title><string language="fre"><![CDATA[R. Bamler - Compactness and partial regularity theory of Ricci flows in higher dimensions]]></string></title>
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<string language="fre"><![CDATA[We
present a new compactness theory of Ricci flows. This theory states 
that any sequence of Ricci flows that is pointed in an appropriate 
sense, subsequentially converges to a synthetic flow. Under a natural 
non-collapsing condition, this limiting flow is smooth on the complement
of a singular set of parabolic codimension at least 4. We furthermore 
obtain a stratification of the singular set with optimal dimensional 
bounds depending on the symmetries of the tangent flows. Our methods 
also imply the corresponding quantitative stratification result and the 
expected $L^p$-curvature bounds.       As an application we obtain a 
description of the singularity formation at the first singular time and a
long-time characterization of immortal flows, which generalizes the 
thick-thin decomposition in dimension 3. We also obtain a backwards 
pseudolocality theorem and discuss several other 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[compactness]]></string></keyword><keyword><string language="fre"><![CDATA[partial regularity theory]]></string></keyword><keyword><string language="fre"><![CDATA[Ricci flows]]></string></keyword><keyword><string language="fre"><![CDATA[higher dimensions]]></string></keyword>
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<date><dateTime>2021-06-29</dateTime></date>
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