BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:On some local-to-global phenomena for abelian varieties - Barinder
  Banwait (Warwick)
DTSTART:20130226T161500Z
DTEND:20130226T171500Z
UID:TALK42680@talks.cam.ac.uk
CONTACT:Teruyoshi Yoshida
DESCRIPTION:If an abelian variety over a number field admits a rational to
 rsion point\, or isogeny\, then so too do (almost) all of its reductions. 
 One may ask whether the converse of this is true\; in both cases\, it is n
 ot\, as shown by Nick Katz in the torsion case\, and Andrew Sutherland for
  elliptic curves in the isogeny case. Sutherland had to make a certain ass
 umption about his number field to get his result\; I have been looking int
 o what happens without this assumption\, and this leads to lots of interes
 ting questions about the image of the mod-l representation attached to ell
 iptic curves\, which can be studied by explicitly constructing certain mod
 ular curves. If there's time I'll talk about my attempts at proving that t
 he local-to-global for torsion holds for certain natural classes of abelia
 n varieties. 
LOCATION:MR14
END:VEVENT
END:VCALENDAR