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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