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DTSTART:20170326T010000
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DTSTART:20171029T010000
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DTSTART;TZID=Europe/Paris:20170328T160000
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DTSTAMP:20260504T153150
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SUMMARY:NSOP_1\, Kim-independence\, and simplicity at a generic scale
DESCRIPTION:The class of NSOP_1 theories properly contains the simple theories and is contained in the class of theories without the tree property of the first kind. We will describe a notion of independence called Kim-independence\, which corresponds to non-forking independence ‘at a generic scale.’ In an NSOP_1 theory\, Kim-independence is symmetric and satisfies a version of Kim’s lemma and the independence theorem. Moreover\, these properties of Kim-independence individually characterize NSOP_1 theories. We will talk about what Kim-independence looks like in several concrete examples: parametrized equivalence relations\, Frobenius fields\, and vector spaces with a bilinear form. This is joint work with Itay Kaplan.
URL:https://www.math.ens.psl.eu/evenement/nsop_1-kim-independence-and-simplicity-at-a-generic-scale/
LOCATION:Sophie Germain salle 1016
CATEGORIES:Théorie des Modèles et Groupes
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