IPM Calendar 
Saturday 25 June 2022   Today  
Events for day: Tuesday 14 June 2022    
           16:30 - 18:00     Number Theory Webinar
On BRZ Exact Sequence for Finite Galois Extensions of Number Fields

School
MATHEMATICS

In this talk, I will shortly explain how to use some cohomological results of Brumer-Rosen and Zantema to obtain a four-term exact sequence, called ``BRZ'' standing for these authors, which reveals some information about strongly ambiguous ideal classes (coinciding with relative Polya group) of a finite Galois extension of number fields. As an application of the BRZ, I will reprove some well known results in the literature. Then, as a minor modification on relative Polya group for a finite extension of number fields, I will introduce the notion of ``relative Ostrowski quotient'' and give some new approaches of the BRZ exact sequence. The m ...