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X-WR-CALDESC:évènements pour Département de mathématiques et applications
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DTSTART:20200329T010000
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DTSTART:20201025T010000
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DTSTART;TZID=Europe/Paris:20200306T110000
DTEND;TZID=Europe/Paris:20200306T122000
DTSTAMP:20260409T004058
CREATED:20200306T100000Z
LAST-MODIFIED:20211025T103823Z
UID:8546-1583492400-1583497200@www.math.ens.psl.eu
SUMMARY:Some remarks on complex analytic functions in a definable context
DESCRIPTION:We fix an o-minimal expansion of the real field\, M say. Definabilitynotions are with respect to M. Let F = {f_x : x in X} be a definable familyof (single valued) complex analytic functions\, each one having domain somedisk\, D_x say\, in ?\, where the parameter space X is a definable subset of ?^mfor some m. We present some finiteness theorems for such families F whichare uniform in parameters and give some applications.We also speculate on the notion of “definable” Riemann surface.
URL:https://www.math.ens.psl.eu/evenement/some-remarks-on-complex-analytic-functions-in-a-definable-context/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20200306T170000
DTEND;TZID=Europe/Paris:20200306T182000
DTSTAMP:20260409T004058
CREATED:20200306T160000Z
LAST-MODIFIED:20211025T103821Z
UID:8545-1583514000-1583518800@www.math.ens.psl.eu
SUMMARY:Constructing pseudo-algebraically closed fields
DESCRIPTION:A field K is called pseudo-algebraically closed (PAC) if every absolutely irreducible variety defined over K has a K-rational point. These fields were introduced by Ax in his characterization of pseudo-finite fields and have since become an important object of study in both model theory and field arithmetic. We will explain how the analysis of a PAC field often reduces to questions about the model theory of the absolute group and describe how these reductions combine with a graph-coding construction of Cherlin\, van den Dries\, and Macintyre together with to construct PAC fields with prescribed combinatorial properties.
URL:https://www.math.ens.psl.eu/evenement/constructing-pseudo-algebraically-closed-fields/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
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