Frank Thorne

Affiliation: University of South Carolina

Title Of Talk: 6-torsion in class groups of quadratic fields

URLS:
https://thornef.github.io/alladi.pdf
https://arxiv.org/abs/2512.21920

Abstract: I will discuss joint work with Peter Koymans, Robert Lemke Oliver, and Efthymios Sofos obtaining asymptotic formulas for 6-torsion in class groups of quadratic fields. We also obtain an asymptotic formula counting Galois D_6-extensions by discriminant. A variety of disparate ingredients go into the proof, and I will talk about what these are and how they fit together.

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