SEMINARS
On Iwasawa theory of Rubin-Stark units and narrow class groups.

2018-12-25　10:00 — 11:30

Middle Lecture Room

Younes Mazigh

University Moulay Ismail.

Mounir HAJLI

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).