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SUMMARY:A Deuring criterion for abelian varieties - Chris Blake University
  of Cambridge
DTSTART:20131101T150000Z
DTEND:20131101T160000Z
UID:TALK48671@talks.cam.ac.uk
CONTACT:Julian Brough
DESCRIPTION:Let A be an abelian variety defined over a number field with\n
 complex multiplication by a CM field F. If A is an elliptic curve\, a famo
 us\ncriterion of Deuring provides a direct link between the splitting of a
 \nprime number p in F and the reduction type of A at any prime of good\nre
 duction above p. With a bit of thought\, it is easy to see that there can\
 nbe no such simple relationship as soon as the dimension of A is greater\n
 than 1. Nonetheless\, in this talk we will describe several generalisation
 s\nof the Deuring reduction criterion to abelian varieties of arbitrary\nd
 imension.
LOCATION:CMS\, MR5
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