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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:20120325T010000
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DTSTART:20121028T010000
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DTSTART;TZID=Europe/Paris:20120518T143000
DTEND;TZID=Europe/Paris:20120518T153000
DTSTAMP:20260427T183942
CREATED:20120518T123000Z
LAST-MODIFIED:20211104T092156Z
UID:8085-1337351400-1337355000@www.math.ens.psl.eu
SUMMARY:The arithmetic of hyperelliptic curves
DESCRIPTION:Manjul Bhargava has recently made significant progress on the arithmetic ofelliptic curves over Q. Together with his student Arul Shankar\, he has calculated the averageorder of the n-Selmer group\, for n = 2\,3\,4\,5\, and has obtained an upper bound on theaverage rank (which is less than one). To do this\, they identify elements of the Selmer groupwith certain orbits in a representation of a semi-simple group over Q\, and estimatethe number of orbits of bounded height using the geometry of numbers. In this talk\, which is a report on joint work with Bhargava\, I will explain how thesetechniques can be extended to study the arithmetic of hyperelliptic curves of a fixedgenus over Q\, with a marked rational Weierstrass point.
URL:https://www.math.ens.psl.eu/evenement/the-arithmetic-of-hyperelliptic-curves/
LOCATION:Salle W
CATEGORIES:Variétés rationnelles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20120518T160000
DTEND;TZID=Europe/Paris:20120518T170000
DTSTAMP:20260427T183942
CREATED:20120518T140000Z
LAST-MODIFIED:20211104T092156Z
UID:8083-1337356800-1337360400@www.math.ens.psl.eu
SUMMARY:Complexes de groupes de type multiplicatif et groupe de Brauer non ramifié des espaces homogènes
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/complexes-de-groupes-de-type-multiplicatif-et-groupe-de-brauer-non-ramifie-des-espaces-homogenes/
LOCATION:Salle W
CATEGORIES:Variétés rationnelles
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20120518T173000
DTEND;TZID=Europe/Paris:20120518T183000
DTSTAMP:20260427T183942
CREATED:20120518T153000Z
LAST-MODIFIED:20211104T092156Z
UID:8084-1337362200-1337365800@www.math.ens.psl.eu
SUMMARY:Complexes de groupes de type multiplicatif et groupe de Brauer non ramifié des espaces homogènes II
DESCRIPTION:
URL:https://www.math.ens.psl.eu/evenement/complexes-de-groupes-de-type-multiplicatif-et-groupe-de-brauer-non-ramifie-des-espaces-homogenes-ii/
LOCATION:Salle W
CATEGORIES:Variétés rationnelles
END:VEVENT
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