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The arithmetic of the norm one torus

Number Theory Seminar
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.

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