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X-WR-CALNAME:LMNO · Laboratoire de mathématiques Nicolas Oresme
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X-WR-CALDESC:Évènements pour LMNO · Laboratoire de mathématiques Nicolas Oresme
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DTSTART;TZID=Europe/Paris:20231110T140000
DTEND;TZID=Europe/Paris:20231110T150000
DTSTAMP:20260412T021424
CREATED:20231120T085635Z
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UID:115-1699624800-1699628400@lmno.unicaen.fr
SUMMARY:Hecke orbits on Shimura varieties
DESCRIPTION:Exposé dans le cadre du séminaire de théorie des nombres \n\n\n\nOrateur : Marco d’Addezio \n\n\n\nI will talk about the proof of the Hecke orbit conjecture for Shimura varieties of Hodge type. This is a conjecture proposed by Chai and Oort on the geometry of the reduction modulo p of Shimura varieties. After recalling the statement\, I will explain how to linearise the problem using some “generalised Serre-Tate coordinates” on central leaves. Subsequently\, I will explain how the monodromy groups of F-isocrystals enter into the picture and I will say some words on how we use the Cartier-Witt stacks\, constructed by Drinfeld and Bhatt-Lurie. This is a joint work with Pol van Hoften.
URL:https://lmno.unicaen.fr/evenement/hecke-orbits-on-shimura-varieties/
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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