[Turkmath:5670] FGC-HRI-IPM Number Theory Seminars[June 14, 2022, Tuesday] Abbas Maarefparvar (IPM)

[kazimilhan.ikeda]

Dear all,

ABBAS MAAREFPARVAR (IPM) will speak in the next FGC-HRI-IPM Number
Theory Seminar on June 14 2022, Tuesday.

TITLE: 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.

DATE AND TIME: Tuesday June 14, 2022, 15:00 ISTANBUL | 16:30 TEHRAN |
17:30 ALLAHABAD.
Zoom link:

https://us06web.zoom.us/j/87212146791?pwd=d0pmbVZJanpDV0NERWNLbklEV2NqUT09

Meeting ID: 872 1214 6791
Passcode: 362880

Best regards,

Semih Ozlem (FGC),
Aprameyo Pal (HRI),
Ali Mohammadi (IPM),

Coordinators of FGC-HRI-IPM Number Theory Seminars
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