16.05.2025 (Friday)

NT Internal number theory seminar

regular seminar Harmeet Singh (King's College London)

at:
15:00 - 16:00
KCL, Strand
room: K0.19
abstract:

Title - The Hasse norm principle: degrees of failure

Abstract - For an extension of number fields K/k, we say that the Hasse norm principle (HNP) holds if an element of k is a global norm whenever it is a norm everywhere locally. A result of Bartels states that HNP holds for any extension of prime degree. In light of this, one can ask for which integers d does there exist a degree d extension of number fields failing HNP? I will report on work in progress (joint with Gareth Tracey) answering this question.

Keywords:

TL\DSEMICDR: I will explain why I am basically a finite group theorist.