(0.0) Big Galois representations In this work we study cohomological invariants of “big
Galois representations” ρ: G−→ AutR (T), where (i) G is a suitable Galois group.(ii) R is a …

We show that the cyclotomic Iwasawa–Greenberg main conjecture holds for a large class of
modular forms with multiplicative reduction at p, extending previous results for the good …

A result of Bleher, Chinburg, Greenberg, Kakde, Pappas, Sharifi and Taylor has initiated the
topic of higher codimension Iwasawa theory. As a generalization of the classical Iwasawa …

Let p be an odd prime. Associated to a pair (E, F∞) consisting of a rational elliptic curve E
and a p-adic Lie extension F∞ of Q, is the p-primary Selmer group Selp∞(E/F∞) of E over …

We begin a study of $ m $ th Chern classes and $ m $ th characteristic symbols for Iwasawa
modules which are supported in codimension at least $ m $. This extends the classical …

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In this paper, we study the fine Selmer group of p-adic Galois representations and their
deformations. We show that for an infinite family of elliptic cuspforms, if the μ-invariant of the …

Soit F un corps CM et p un nombre premier. Soit XF∞-le quotient “moins” du groupe de
Galois de la pro-p-extension abélienne non ramifiée maximale de la ℤ p-extension …

We introduce a natural way to define Selmer groups and p-adic L-functions for modular
forms of weight 1. The corresponding Galois representation ρ of Gal (Q/Q) is a 2 …

This article studies a map from a global Galois cohomology group to a direct sum of
quotients of local Galois cohomology groups. The kernel of such a global-to-local map is …