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SUMMARY:Jennifer Berg (Bucknell University)
DTSTART:20200910T173000Z
DTEND:20200910T183000Z
DTSTAMP:20260423T004754Z
UID:MAGIC/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAGIC/14/">C
 onic bundles over elliptic curves</a>\nby Jennifer Berg (Bucknell Universi
 ty) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia
 )\n\n\nAbstract\nIn this talk\, we'll explore the arithmetic of conic bund
 les $X \\to E$ over elliptic curves of positive Mordell-Weil rank over a n
 umber field k. We will consider questions regarding the distribution of th
 e rational points of X by examining the image of X(k) inside of the ration
 al points of the base elliptic curve E. In the process\, we will mention a
  result on a local-to-global principle for torsion points on elliptic curv
 es over the rationals. This is joint work with Masahiro Nakahara.\n
LOCATION:https://researchseminars.org/talk/MAGIC/14/
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