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X-WR-CALNAME:LMNO · Laboratoire de mathématiques Nicolas Oresme
X-ORIGINAL-URL:https://lmno.unicaen.fr
X-WR-CALDESC:Évènements pour LMNO · Laboratoire de mathématiques Nicolas Oresme
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DTSTART;TZID=Europe/Paris:20231117T140000
DTEND;TZID=Europe/Paris:20231117T150000
DTSTAMP:20260412T084536
CREATED:20231120T085745Z
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UID:117-1700229600-1700233200@lmno.unicaen.fr
SUMMARY:On the quantitative Manin-Mumford conjecture
DESCRIPTION:Exposé dans le cadre du séminaire de théorie des nombres \n\n\n\nOrateur : Robert Wilms \n\n\n\nThe Manin-Mumford conjecture\, proved by Raynaud in 1983\, states that there are only finitely many torsion points on the embedding of a curve of genus g>1 into its Jacobian. In the first part of the talk\, I will show that over function fields there are at most 16g²+32g+124 such points. This is joint work with Looper and Silverman. In the second part\, I will discuss recent progress on an analogous result in the case of number fields.
URL:https://lmno.unicaen.fr/evenement/on-the-quantitative-manin-mumford-conjecture/
LOCATION:Caen · Campus 2 · Sciences 3 · Salle S3-247\, UFR des Sciences\, Sciences 3\, 6 Boulevard Maréchal Juin\, Caen\, 14000\, France
CATEGORIES:Théorie des nombres
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