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SUMMARY:Jiuya Wang (Duke University)
DTSTART:20201117T213000Z
DTEND:20201117T223000Z
DTSTAMP:20260423T130432Z
UID:MITNT/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/15/">A
 verage of $3$-torsion in class groups of $2$-extensions</a>\nby Jiuya Wang
  (Duke University) as part of MIT number theory seminar\n\n\nAbstract\nIn 
 1971\, Davenport and Heilbronn proved the celebrated theorem determining t
 he average of $3$-torsion in class groups of quadratic extensions. In this
  talk\, we will study the average of $3$-torsion in class groups of $2$-ex
 tensions\, which are towers of relative quadratic extensions. As an exampl
 e\, we determine the average of $3$-torsion in class groups of $D_4$ quart
 ic extensions. This is a joint work with Robert J. Lemke Oliver and Melani
 e Matchett Wood.\n
LOCATION:https://researchseminars.org/talk/MITNT/15/
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