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X-WR-CALDESC:évènements pour Département de mathématiques et applications
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DTSTART:20190331T010000
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DTSTART:20191027T010000
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DTSTART;TZID=Europe/Paris:20190205T160000
DTEND;TZID=Europe/Paris:20190205T173000
DTSTAMP:20260527T112533
CREATED:20190205T150000Z
LAST-MODIFIED:20211104T111801Z
UID:8489-1549382400-1549387800@www.math.ens.psl.eu
SUMMARY:Groupes d'automorphismes et Propriété (T)
DESCRIPTION:Nous présenterons une preuve de la Propriété (T) de Kazhdan pour les groupes d’automorphismes de structures métriques aleph_0-catégoriques. Ceci généralise des résultats précédents de Bekka (pour le groupe unitaire) et de Evans et Tsankov (pour les groupes pro-oligomorphes)\, sans besoin de faire appel à des résultats de classification de représentations unitaires. En effet\, l’argument est purement modèle-théorique et basé sur des principes de la stabilité locale.
URL:https://www.math.ens.psl.eu/evenement/groupes-dautomorphismes-et-propriete-t/
LOCATION:Sophie Germain salle 2015
CATEGORIES:Théorie des Modèles et Groupes
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20190219T160000
DTEND;TZID=Europe/Paris:20190219T173000
DTSTAMP:20260527T112533
CREATED:20190219T150000Z
LAST-MODIFIED:20211104T112028Z
UID:8496-1550592000-1550597400@www.math.ens.psl.eu
SUMMARY:On the theory of rigid meromorphic functions in positive characteristic
DESCRIPTION:There is a well-known analogy between the arithmetic of rational numbers and the theory of meromorphic functions over a normed field. It is a classical result of Julia Robinson that the first order theory of the field of rational numbers is undecidable\, and one would expect such a result in the meromorphic setting. In this talk I’ll give an outline of the proof of undecidability for rigid meromorphic functions in positive characteristic
URL:https://www.math.ens.psl.eu/evenement/on-the-theory-of-rigid-meromorphic-functions-in-positive-characteristic/
LOCATION:Salle 2015 Sophie Germain
CATEGORIES:Théorie des Modèles et Groupes
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20190226T160000
DTEND;TZID=Europe/Paris:20190226T173000
DTSTAMP:20260527T112533
CREATED:20190226T150000Z
LAST-MODIFIED:20211104T112029Z
UID:8497-1551196800-1551202200@www.math.ens.psl.eu
SUMMARY:Uncountable categoricity of structures based on Banach spaces
DESCRIPTION:A continuous theory T of bounded metric structures is said to be kappa-categorical if T has a unique model of density kappa. Work of Ben Yaacov and Shelah+Usvyatsov shows that Morley’s Theorem holds in this context: if T has a countable signature and is kappa-categorical for some uncountable kappa\, then T is kappa-categorical for all uncountable kappa. In classical (discrete) model theory\, there are several characterizations of uncountable categoricity. For example\, there is a structure theorem for uncountably categorical theories T\, due to Baldwin+Lachlan: there is a strongly minimal set D defined over the prime model of T such that every uncountable model M of T is minimal and prime over D(M). Moreover (and easier)\, if T has such a strongly minimal set\, then T is uncountably categorical.In the more general metric structure setting\, nothing remotely like this is known. Indeed\, the metric analog of a strongly minimal set is nowhere to be seen\, at the moment. If one restricts attention to metric structures based on (unit balls) of Banach structures\, more is known. The appropriate analog of strongly minimal sets seems to be the unit balls of Hilbert spaces. After the speaker called attention to this phenomenon in some examples from functional analysis\, Shelah and Usvyatsov investigated it and proved a remarkable result (arxiv 1402.6513
URL:https://www.math.ens.psl.eu/evenement/uncountable-categoricity-of-structures-based-on-banach-spaces/
LOCATION:Sophie Germain salle 2015
CATEGORIES:Théorie des Modèles et Groupes
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