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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
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TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:20150329T010000
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TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
DTSTART:20151025T010000
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20151106T110000
DTEND;TZID=Europe/Paris:20151106T110000
DTSTAMP:20260416T003031
CREATED:20151106T100000Z
LAST-MODIFIED:20211104T095810Z
UID:8228-1446807600-1446807600@www.math.ens.psl.eu
SUMMARY:Nonarchimedean globally valued fields
DESCRIPTION:In a joint research project with Itay Ben Yaacov\, we study a class of fields enriched with a global structure tying together their various valuations by a product formula. This is an elementary class in the sense of continuous logic
URL:https://www.math.ens.psl.eu/evenement/nonarchimedean-globally-valued-fields/
LOCATION:Sophie Germain salle 1021
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20151106T141500
DTEND;TZID=Europe/Paris:20151106T141500
DTSTAMP:20260416T003031
CREATED:20151106T131500Z
LAST-MODIFIED:20211104T095610Z
UID:8226-1446819300-1446819300@www.math.ens.psl.eu
SUMMARY:The p-adic analog of Artin-Schreier Theorem - revisited (II)
DESCRIPTION:A famous Theorem by Artin and Schreier characterizes the real closed fields as being those fields which have a finite non-trivial absolute Galois group. Instances of p-adic analogs of this Theorem are known (Neukirch\, Pop\, Koenigsmann\, Efrat)\, but there is much more to this story. Namely I will give a ‘minimalistic’ p-adic analog\, which as in the Artin-Schreier Theorem\, invoves only finite groups. This aspect of the story relates to the birational p-adic section conjecture\, etc.
URL:https://www.math.ens.psl.eu/evenement/the-p-adic-analog-of-artin-schreier-theorem-revisited-ii/
LOCATION:Sophie Germain salle 1021
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20151106T160000
DTEND;TZID=Europe/Paris:20151106T160000
DTSTAMP:20260416T003031
CREATED:20151106T150000Z
LAST-MODIFIED:20211104T095809Z
UID:8227-1446825600-1446825600@www.math.ens.psl.eu
SUMMARY:Counting points vs. counting extensions
DESCRIPTION:In this talk\, I will explain how to relate the two counting problems in the title by generalizing the McKay correspondence to number-theoretic base fields\, that is\, local fields and number fields. Over local fields\, generalizing the McKay correspondence by Batyrev and Denef-Loeser\, one can relate stringy invariants of quotient varieties to mass formulas of extensions of local fields. Over number fields\, using the local result and a heuristic argument\, one can (less tightly than in the local case) relate Manin’s conjecture on rational points of Fano varieties to Malle’s conjecture on extensions of number fields.
URL:https://www.math.ens.psl.eu/evenement/counting-points-vs-counting-extensions/
LOCATION:Sophie Germain salle 1021
CATEGORIES:Séminaire Géométrie et théorie des modèles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20151127T150000
DTEND;TZID=Europe/Paris:20151127T160000
DTSTAMP:20260416T003031
CREATED:20151127T140000Z
LAST-MODIFIED:20211104T100346Z
UID:8242-1448636400-1448640000@www.math.ens.psl.eu
SUMMARY:Strong approximation and a conjecture of Harpaz and Wittenberg
DESCRIPTION:In recent work Harpaz and Wittenberg established a general fibration theorem for the existence of rational points\, conditional on a conjecture on locally split values of polynomials. In this talk we report on joint work with Tim Browning\, which establishes a special case of their conjecture. We achieve this in proving strong approximation off a non-empty finite set of places for some varieties which are defined using norm forms.
URL:https://www.math.ens.psl.eu/evenement/strong-approximation-and-a-conjecture-of-harpaz-and-wittenberg/
LOCATION:ENS Salle W
CATEGORIES:Variétés rationnelles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20151127T163000
DTEND;TZID=Europe/Paris:20151127T173000
DTSTAMP:20260416T003031
CREATED:20151127T153000Z
LAST-MODIFIED:20211104T100346Z
UID:8243-1448641800-1448645400@www.math.ens.psl.eu
SUMMARY:La conjecture de Manin pour une famille de surfaces de Châtelet
DESCRIPTION:Les conjectures de Manin et Peyre décrivent la répartition des points rationnels de hauteur bornée sur une variété de Fano en terme d’invariants géométriques de la variété. Suivant l’approche développée par La Bretèche\, Browning et Peyre\, on présentera au cours de cet exposé une preuve de la conjecture de Manin pour une surfaces de Châtelet définie comme modèle minimal propre et lisse d’une variété affine de la forme Y^2+Z^2=F(X\,1) avec F polynôme à coefficients entiers de degré 4 sans racine multiple de la forme F=L_1L_2Q avec L_1 et L_2 deux formes linéaires non proportionnelles et Q une forme quadratique irréductible sur Q(i).
URL:https://www.math.ens.psl.eu/evenement/la-conjecture-de-manin-pour-une-famille-de-surfaces-de-chatelet/
LOCATION:ENS Salle W
CATEGORIES:Variétés rationnelles
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