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SUMMARY:Jiuya Wang (Duke Univ.)
DTSTART:20210504T210000Z
DTEND:20210504T220000Z
DTSTAMP:20260423T024752Z
UID:UAANTS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/19/">
 Average of $3$-torsion in class groups of $2$-extensions</a>\nby Jiuya Wan
 g (Duke Univ.) as part of University of Arizona Algebra and Number Theory 
 Seminar\n\n\nAbstract\nIn 1971\, Davenport and Heilbronn prove the celebra
 ted theorem\ndetermining the average of $3$-torsion in class groups of qua
 dratic\nextensions. In this talk\, we will study the average of $3$-torsio
 n in\nclass groups of $2$-extensions\, which are towers of relative quadra
 tic\nextensions. As an example\, we determine the average of $3$-torsion i
 n\nclass groups of $D_4$ quartic extension. This is a joint work with\nRob
 ert J. Lemke Oliver and Melanie Matchett Wood.\n
LOCATION:https://researchseminars.org/talk/UAANTS/19/
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