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DTSTART:20220327T010000
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DTSTART;TZID=Europe/Paris:20220315T160000
DTEND;TZID=Europe/Paris:20220315T173000
DTSTAMP:20260426T135038
CREATED:20220309T160534Z
LAST-MODIFIED:20220309T160950Z
UID:15402-1647360000-1647365400@www.math.ens.psl.eu
SUMMARY:Curve-excluding fields
DESCRIPTION:Consider the class of fields with Char(K)=0 and x^4+y^4=1 has only 4 solutions in K\, we show that this class has a model companion\, which we denote by curve-excluding fields. Curve-excluding fields provides (counter)examples to various questions. Model theoretically\, they are model complete and TP_2. Field theoretically\, they are not large and unbounded. We will discuss other aspects such as decidability of such fields. This is joint work with Will Johnson and Erik Walsberg.
URL:https://www.math.ens.psl.eu/evenement/curve-excluding-fields-2/
LOCATION:salle 1016 Sophie Germain
CATEGORIES:Théorie des Modèles et Groupes
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