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CATEGORIES:Number Theory Seminar
SUMMARY:A Deuring criterion for abelian varieties - Chris
Blake (Cambridge)
DTSTART;TZID=Europe/London:20131119T161500
DTEND;TZID=Europe/London:20131119T171500
UID:TALK47546AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/47546
DESCRIPTION:Let A be an abelian variety defined over a number
field with complex multiplication by a CM field F.
If A is an elliptic curve\, a famous criterion of
Deuring provides a direct link between the splitt
ing of a prime number p in F and the reduction typ
e of A at any prime of good reduction above p. Wit
h a bit of thought\, it is easy to see that there
can be no such simple relationship as soon as the
dimension of A is greater than 1. Nonetheless\, in
this talk we will prove several generalisations o
f the Deuring reduction criterion to abelian varie
ties of arbitrary dimension.
LOCATION:MR13
CONTACT:James Newton
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