We prove the modularity of most reducible, odd representations ̄ ρ: Γ _ Q → GL _2 (k) ρ¯: Γ
Q→ GL 2 (k) with ka finite field of characteristic an odd prime p. This is an analogue of …

In this paper, we study Fontaine-Laffaille, self-dual deformations of a mod p non-semisimple
Galois representation of dimension n with its Jordan-Holder factors being three mutually non …

Given a continuous, odd, reducible, and semi-simple-dimensional representation of over a
finite field of odd characteristic, we study the relation between the universal deformation ring …

We prove modularity of certain residually reducible ordinary 2-dimensional $ p $-adic Galois
representations with determinant a finite order odd character $\chi $. For certain non …

Soit p≥ 5 un nombre premier. Pour les formes modulaires elliptiques de poids 2 et de
niveau Γ 0 (N), où N> 6 est sans facteurs carrés, nous donnons une minoration de la …

We prove (under certain assumptions) the irreducibility of the limit σ 2 of a sequence of
irreducible essentially self-dual Galois representations σ k: GQ→ GL 4 (Q¯ p)(as k …