BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Abbas Maarefparvar (Institute for Research in Fundamental Sciences (IPM)) DTSTART:20220614T120000Z DTEND:20220614T130000Z DTSTAMP:20260424T095224Z UID:FGC-IPM/22 DESCRIPTION:Title: On BRZ exact sequence for finite Galois extensions of number fields\n by Abbas Maarefparvar (Institute for Research in Fundamental Sciences (IPM )) as part of FGC-HRI-IPM Number Theory Webinars\n\n\nAbstract\nIn this ta lk\, I will shortly explain how to use some cohomological results of Brume r-Rosen and Zantema to obtain a four-term exact sequence\, called ``BRZ’ ’ standing for these authors\, which reveals some information about str ongly 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 fie lds\, I will introduce the notion of ``relative Ostrowski quotient'' and give some new approaches of the BRZ exact sequence. The main part of my t alk is concerning a joint work with Ali Rajaei and Ehsan Shahoseini.\n\nZo om link:\nhttps://us06web.zoom.us/j/87212146791?pwd=d0pmbVZJanpDV0NERWNLbk lEV2NqUT09\n\nMeeting ID: 872 1214 6791\nPasscode: 362880\n LOCATION:https://researchseminars.org/talk/FGC-IPM/22/ END:VEVENT END:VCALENDAR