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X-WR-CALNAME:Département de mathématiques et applications
X-ORIGINAL-URL:https://www.math.ens.psl.eu
X-WR-CALDESC:évènements pour Département de mathématiques et applications
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TZID:Europe/Paris
BEGIN:DAYLIGHT
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:20180325T010000
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BEGIN:STANDARD
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
DTSTART:20181028T010000
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20181213T141500
DTEND;TZID=Europe/Paris:20181213T154500
DTSTAMP:20260510T172745
CREATED:20181213T131500Z
LAST-MODIFIED:20211104T111359Z
UID:8480-1544710500-1544715900@www.math.ens.psl.eu
SUMMARY:Ax-Lindemann-Weierstrass with derivatives and the genus 0 Fuchsian groups
DESCRIPTION:We prove the Ax-Lindemann-Weierstrass theorem for the uniformizing functions of genus zero Fuchsian groups of the first kind. Our proof relies on differential Galois theory of Schwarzian equations and machinery from the model theory of differentially closed fields. This result generalizes previous work of Pila-Tsimerman on the j function. (Joint work with James Freitag and Joel Nagloo)
URL:https://www.math.ens.psl.eu/evenement/ax-lindemann-weierstrass-with-derivatives-and-the-genus-0-fuchsian-groups/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20181214T110000
DTEND;TZID=Europe/Paris:20181214T123000
DTSTAMP:20260510T172745
CREATED:20181214T100000Z
LAST-MODIFIED:20211104T111358Z
UID:8478-1544785200-1544790600@www.math.ens.psl.eu
SUMMARY:Uniform bound for points of bounded degree in function fields of positive characteristic
DESCRIPTION:I will present a bound for the number of F_q[t]-points of bounded degree in a variety defined over Z[t]\, uniform in q. This generalizes work by Sedunova for fixed q. The proof involves model theory of valued fields with algebraic Skolem functions and uniform non-Archimedean Yomdin-Gromov parametrizations. This is joint work with Raf Cluckers and François Loeser.
URL:https://www.math.ens.psl.eu/evenement/uniform-bound-for-points-of-bounded-degree-in-function-fields-of-positive-characteristic/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20181214T160000
DTEND;TZID=Europe/Paris:20181214T173000
DTSTAMP:20260510T172745
CREATED:20181214T150000Z
LAST-MODIFIED:20211104T111159Z
UID:8477-1544803200-1544808600@www.math.ens.psl.eu
SUMMARY:On differentially large fields.
DESCRIPTION:Recall that a field K is large if it is existentially closed in K((t)). Examples of such fields are the complex\, the real\, and the p-adic numbers. This class of fields has been exploited significantly by F. Pop and others in inverse Galois-theoretic problems. In recent work with M. Tressl we introduced and explored a differential analogue of largeness\, that we conveniently call « differentially large ». I will present some properties of such fields\, and use a twisted version of the Taylor morphism to characterise them using formal Laurent series and to even construct « natural » examples (which ultimately yield examples of DCFs and CODFs… acronyms that will be explained in the talk).
URL:https://www.math.ens.psl.eu/evenement/on-differentially-large-fields/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Géométrie et théorie des modèles
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