Three torsion in the class groups of cyclic cubic extensions

Speaker:

Erick Knight

Affiliation:

Harvard University/MPI

Date:

Wed, 19/04/2017 - 14:15 - 15:15

Location:

MPIM Lecture Hall [2]

Parent event:

Number theory lunch seminar [3]

Classical results describe the 2-torsion in the class groups of
quadratic extensions, and they can even be used to describe the 4 and
8-torsion as well. In this talk, I will try to generalize some of those
results over to the case of 3-torsion in the class groups of cyclic cubic
extensions. This is joint work with Abtien Javanpeykar and Peter
Stevenhagen.