Session S09 - Number Theory in the Americas

Thursday, July 22, 19:30 ~ 20:00 UTC-3

Joint Shapes of Quartic Fields and Their Cubic Resolvents

Piper H

University of Toronto , Canada   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In studying the (equi)distribution of shapes of quartic number fields, one relies heavily on Bhargava's parametrizations which brings with it a notion of resolvent ring. Maximal rings have unique resolvent rings so it is possible to live a long and healthy life without understanding what they are. The authors have decided, however, to forsake such bliss and look into what ever are these rings and what happens if we consider their shapes along with our initial number fields.

Joint work with Christelle Vincent (University of Vermont, USA).

View abstract PDF