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DTSTART;VALUE=DATE:20220531T131500
DTEND;VALUE=DATE:20220531T131500
UID:11436@agenda.unifr.ch
DESCRIPTION:Scalar curvature is a local invariant of a Riemannian manifold. It measures asymptotically  the volume growth of geodesic balls. Understanding the topological space of all positive scalar curvature metrics on a closed manifold has been an active field of study during the last 30 years. So far, these spaces have been considered from an isotopy viewpoint.\n I will describe a new approach to study this space bases on the notion of concordance. To this end, I construct with the help of cubical set theory a comparison space that only encodes concordance information and in which the space of psc metrics canonically embeds. After the presentation of some of its properties I will show that the indexdifference, the most important invariant in this field, factors over the comparison space and draw conclusions.
SUMMARY:Positive Scalar Curvature from a Concordance Viewpoint
CATEGORIES:Séminaire
LOCATION:PER 07\, 1.311\, Chemin du Musée 6\, 1700 Fribourg
URL;VALUE=URI:https://agenda.unifr.ch/e/fr/11436
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