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SUMMARY:Ross Paterson (University of Bristol)
DTSTART:20230524T150000Z
DTEND:20230524T160000Z
DTSTAMP:20260418T064237Z
UID:LNTS/100
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/100/">Q
 uadratic Twists as Random Variables</a>\nby Ross Paterson (University of B
 ristol) as part of London number theory seminar\n\nLecture held in KCL\, S
 trand Building\, Room S3.30.\n\nAbstract\nIf $E/\\mathbb{Q}$ is an ellipti
 c curve\, and $d$ is a squarefree integer\, then the $2$-torsion modules o
 f $E$ and its quadratic twist $E_d$ are isomorphic. In particular their $2
 $-Selmer groups can be made to lie in the same space. Poonen-Rains provide
  a heuristic model for the behaviour of these $2$-Selmer groups individual
 ly\, as E varies\, but how independent are they? We'll present results in 
 this direction.\n
LOCATION:https://researchseminars.org/talk/LNTS/100/
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