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X-WR-CALNAME:Département de mathématiques et applications
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X-WR-CALDESC:évènements pour Département de mathématiques et applications
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TZID:Europe/Paris
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TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:20220327T010000
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DTSTART:20221030T010000
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20220121T140000
DTEND;TZID=Europe/Paris:20220121T153000
DTSTAMP:20260406T151316
CREATED:20220106T214555Z
LAST-MODIFIED:20220106T215523Z
UID:15001-1642773600-1642779000@www.math.ens.psl.eu
SUMMARY:Hensel minimality and counting in valued fields
DESCRIPTION:Hensel minimality is a new axiomatic framework for doing tame geometry in non-Archimedean fields\, aimed to mimic o-minimality. It is designed to be broadly applicable while having strong consequences. We will give a general overview of the theory of Hensel minimality. Afterwards\, we discuss arithmetic applications to counting rational points on definable sets in valued fields.\nThis is partially joint work with R. Cluckers\, I. Halupczok and S. Rideau-Kikuchi\, and partially with V. Cantoral-Farfan and K. Huu Nguyen.
URL:https://www.math.ens.psl.eu/evenement/hensel-minimality-and-counting-in-valued-fields/
LOCATION:En ligne
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20220121T154000
DTEND;TZID=Europe/Paris:20220121T171000
DTSTAMP:20260406T151316
CREATED:20220106T215337Z
LAST-MODIFIED:20220106T215337Z
UID:15010-1642779600-1642785000@www.math.ens.psl.eu
SUMMARY:Decidability via the tilting correspondence
DESCRIPTION:We discuss new decidability and undecidability results for mixed characteristic henselian fields\, whose proof goes via reduction to positive characteristic. The reduction uses extensively the theory of perfectoid fields and also the earlier Krasner-Kazhdan-Deligne principle. Our main results will be:\n(1) A relative decidability theorem for perfectoid fields. Using this\, we obtain decidability of certain tame fields of mixed characteristic.\n(2) An undecidability result for the asymptotic theory of all finite extensions of ℚ_p (fixed p) with cross-section.\nWe will also discuss a tentative step towards understanding the underlying model theory of arithmetic phenomena in this area\, by presenting a model-theoretic way of seeing the Fontaine-Wintenberger theorem
URL:https://www.math.ens.psl.eu/evenement/decidability-via-the-tilting-correspondence/
LOCATION:En ligne
CATEGORIES:Séminaire Géométrie et théorie des modèles
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