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SEMINARS
On Iwasawa theory of Rubin-Stark units and narrow class groups.
时间  Datetime
2018-12-25 10:00 — 11:30 
地点  Venue
Middle Lecture Room
报告人  Speaker
Younes Mazigh
单位  Affiliation
University Moulay Ismail.
邀请人  Host
Mounir HAJLI
报告摘要  Abstract

Let K be a totally real number field of degree r. Let K_\infty denote the cyclotomic Z_2-extension of K and let L_\infty be a finite extension of K_\infty, abelian over K. In this talk, we compare the characteristic ideal of the \chi-quotient of the projective limit of the narrow class groups to the \chi-quotient of the projective limit of the r-th exterior power of totally positive units modulo a subgroup of Rubin-Stark units, for some Q_2-irreducible characters \chi of Gal(L_\infty/K_\infty).