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PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:superspecial reductions of CM abelian varieties
DTSTART:20231116T141500
DTEND:20231116T160000
DTSTAMP:20260916T064653Z
UID:4bb835110b0943e62a514ef794e52f7c91262042f2594f64c7d58367
CATEGORIES:Conferences - Seminars
DESCRIPTION:Xiaoyu Zhang (Duisburg-Essen)\nThe CM points in a Shimura vari
 ety contain very important arithmetic information of the whole variety. Th
 e famous conjecture of André-Oort says that the Zariski closure of a fami
 ly of CM points in a Shimura variety is in fact (a translation of) a subva
 riety of Hodge type. In this talk\, we would like to say something about a
  variant of this conjecture mod a prime: take a p-power isogeny orbit C of
  a fixed CM abelian variety A\, if A has superspecial reduction modulo a p
 rime q\, then a certain simultaneous reduction of elements in C (by action
  of a torus) is in fact surjective onto the set of all superspecial mod q 
 abelian varieties. I will present these results and indicate the ideas of 
 the proofs.
LOCATION:MA A1 12 https://plan.epfl.ch/?room==MA%20A1%2012
STATUS:CONFIRMED
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