Mon, November 20, 2023
4:00 am - 5:00 pm
Zoom
Title: The arithmetic of the norm one torus
Speaker: Nick Rome (TU Graz)
Abstract: Given a finite extension of number fields K/Q, the associated field norm can be used to define an affine variety given by the equation Norm_{K/Q}(x)=1. We will discuss the qualitative distribution of rational points on this variety, and how this distributions changes as one varies the field K.