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UID:20250623T040638EDT-7931ws3Vdv@132.216.98.100
DTSTAMP:20250623T080638Z
DESCRIPTION:TITLE / TITRE \n\nGood reduction of CM points for Exceptional S
 himura Varieties\n	\n	ABSTRACT / RÉSUMÉ \n\nGiven an Elliptic curve E with c
 omplex multiplication\, it is known that E has (potentially) good reductio
 n everywhere. Concretely\, this means that the j-invariant of E is an alge
 braic integer. The generalization of this result to Abelian-Varieties foll
 ows from the Neron-Ogg-Shafarevich criterion for good reduction.\n	\n	We gen
 eralize this result to Exceptional Shimura varieties S. Concretely\, we sh
 ow that there exists some integral model S_0 of S such that all special po
 ints of S extend to (algebraically) integral points of S_0. To prove this 
 we establish a Neron-Ogg-Shafarevich criterion in this setting. Our method
 s are general and apply\, in particular\, to arbitrary variations of hodge
  structures with an immersive Kodaira-Spencer map.\n	\n	We will explain the 
 proof (which is largely in the realm of birational p-adic geometry) and th
 e open questions that remain.\n\nLien ZOOM Link\n
DTSTART:20250131T203000Z
DTEND:20250131T213000Z
SUMMARY:Jacob Tsimerman (University of Toronto)
URL:/mathstat/channels/event/jacob-tsimerman-universit
 y-toronto-362935
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