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<title><string language="fre"><![CDATA[C. Li - Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions]]></string></title>
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<string language="fre"><![CDATA[In this 
talk, I will discuss some recent developments on the topology of closed 
manifolds admitting Riemannian metrics of positive scalar curvature. In 
particular, we will prove if a closed PSC manifold of dimension 4 (resp.
5) has vanishing ?2 (resp. vanishing ?2 and ?3), then a finite cover of it is homotopy equivalent to Snor connected sums of Sn-1 x S1.
This extends a previous theorem on the non-existence of Riemannian 
metrics of positive scalar curvature on aspherical manifolds in 4 and 5 
dimensions, due to Chodosh and myself and independently Gromov. A key 
step in the proof is a homological filling estimate in sufficiently 
connected PSC manifolds. This is based on joint work with Otis Chodosh 
and Yevgeny Liokumovich.]]></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[PSC manifolds]]></string></keyword><keyword><string language="fre"><![CDATA[4 dimension]]></string></keyword><keyword><string language="fre"><![CDATA[5 dimension]]></string></keyword>
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<entity><![CDATA[BEGIN:VCARD
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FN:Chao LI
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<date><dateTime>2021-06-30</dateTime></date>
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CC BY-NC-ND 4.0]]></string>
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