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DTSTART:20220327T010000
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DTSTART;TZID=Europe/Paris:20220215T160000
DTEND;TZID=Europe/Paris:20220215T173000
DTSTAMP:20260426T092434
CREATED:20220207T145840Z
LAST-MODIFIED:20220211T161554Z
UID:15168-1644940800-1644946200@www.math.ens.psl.eu
SUMMARY:Groups definable in partial differential fields with an automorphism
DESCRIPTION:This is a joint work with Ronald Bustamante Medina and Zoé Chatzidakis.\nIn this talk we are interested in differential and difference fields from the model-theoretic point of view. A differential field is a field with a set of commuting derivations and a difference-differential field is a differential field equipped with an automorphism which commutes with the derivations.\nCassidy studied definable groups in differentially closed fields\, in particular she studied Zariski dense definable subgroups of simple algebraic groups and showed that they are isomorphic to the rational points of an algebraic group over some definable field. In this talk we study groups definable in existentially closed difference-differential fields. In particular\, we study Zariski dense definable subgroups of simple algebraic groups\, and show an\nanalogue of Phyllis Cassidy’s result for partial differential fields.
URL:https://www.math.ens.psl.eu/evenement/groups-definable-in-partial-differential-fields-with-an-automorphism/
LOCATION:Sophie Germain salle 1016.
CATEGORIES:Théorie des Modèles et Groupes
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20220222T160000
DTEND;TZID=Europe/Paris:20220222T173000
DTSTAMP:20260426T092434
CREATED:20220214T184113Z
LAST-MODIFIED:20220214T184113Z
UID:15214-1645545600-1645551000@www.math.ens.psl.eu
SUMMARY:NIPn fields part 2: random hypergraphs and NIPn CHIPS transfer
DESCRIPTION:A core question in the model theory of fields is to understand how combinatorial patterns and algebraic properties interact. The study of NIPn fields\, which can’t express the edge relation of random n-hypergraph\, is linked to henselianity. In this talk\, we use Chernikov and Hils conditions to obtain transfer in some situations\, that is\, under some algebraic assumptions\, it is enough to know that the residue field of a henselian valued field is NIPn in order to known that it is itself NIPn\, and we discuss consequences on hypothetical strictly NIPn fields.
URL:https://www.math.ens.psl.eu/evenement/nipn-fields-part-2-random-hypergraphs-and-nipn-chips-transfer/
LOCATION:salle 1016 Sophie Germain
CATEGORIES:Théorie des Modèles et Groupes
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