Average of $3$-torsion in class groups of $2$-extensions
Jiuya Wang (Duke Univ.)
04-May-2021, 21:00-22:00 (3 years ago)
Abstract: In 1971, Davenport and Heilbronn prove the celebrated theorem determining the 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 $2$-extensions, which are towers of relative quadratic extensions. As an example, we determine the average of $3$-torsion in class groups of $D_4$ quartic extension. This is a joint work with Robert J. Lemke Oliver and Melanie Matchett Wood.
number theory
Audience: researchers in the topic
University of Arizona Algebra and Number Theory Seminar
Organizers: | Aparna Upadhyay*, Pan Yan* |
*contact for this listing |
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