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SUMMARY:Jacob Tsimerman (University of Toronto)
DTSTART:20250401T203000Z
DTEND:20250401T213000Z
DTSTAMP:20260419T151524Z
UID:BC-MIT/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BC-MIT/20/">
 Good reductions of CM points for Exceptional Shimura Varieties</a>\nby Jac
 ob Tsimerman (University of Toronto) as part of BC-MIT number theory semin
 ar\n\nLecture held in Maloney 560 at Boston College.\n\nAbstract\nGiven an
  Elliptic curve E with complex multiplication\, it is known that E has (po
 tentially) good reduction everywhere. Concretely\, this means that the j-i
 nvariant of E is an algebraic integer. The generalization of this result t
 o Abelian-Varieties follows from the Neron-Ogg-Shafarevich criterion for g
 ood reduction.\n\nWe generalize this result to Exceptional Shimura varieti
 es S. Concretely\, we show that there exists some integral model S_0 of S 
 such that all special points of S extend to integral points of S_0. To pro
 ve this we establish a Neron-Ogg-Shafarevich criterion in this setting. Ou
 r methods are general and apply\, in particular\, to arbitrary variations 
 of hodge structures with an immersive Kodaira-Spencer map.\n\nWe will expl
 ain the proof (which is largely in the realm of birational p-adic geometry
 ) and the open questions that remain. This is joint work with Ben Bakker.\
 n
LOCATION:https://researchseminars.org/talk/BC-MIT/20/
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