On BRZ exact sequence for finite Galois extensions of number fields

Abstract: 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 main part of my talk is concerning a joint work with Ali Rajaei and Ehsan Shahoseini.

algebraic geometrynumber theory

Audience: researchers in the topic

Comments: Zoom link: us06web.zoom.us/j/87212146791?pwd=d0pmbVZJanpDV0NERWNLbklEV2NqUT09

Meeting ID: 872 1214 6791 Passcode: 362880

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FGC-HRI-IPM Number Theory Webinars

Series comments: password is 848084

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