Kummer Theory for Number Fields

Speaker: Antonella Perucca

Date: Mon, Jan 23, 2023

Location: PIMS, University of Lethbridge, Zoom, Online

Conference: Lethbridge Number Theory and Combinatorics Seminar

Subject: Mathematics, Number Theory

Class: Scientific


Antonella Perucca (University of Luxembourg, Luxembourg)

Kummer theory is a classical theory about radical extensions of fields in the case where suitable roots of unity are present in the base field. Motivated by problems close to Artin's primitive root conjecture, we have investigated the degree of families of general Kummer extensions of number fields, providing parametric closed formulas. We present a series of papers that are in part joint work with Christophe Debry, Fritz Hörmann, Pietro Sgobba, and Sebastiano Tronto.

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