Add to ORKGWe establish the automorphy of some families of 2-dimensional representations of the absolute Galois group of a totally real field, which do not satisfy the so-called ‘Taylor–Wiles hypothesis’. We apply this to the problem of the modularity of elliptic curves over totally real fields.
We prove that, under some mild conditions, a two dimensional p-adic Galois representation which is r...
AbstractFor a given odd two-dimensional representation ρ over Fp of the absolute Galois group GE of ...
In this paper, we study the level lowering problem for mod 2 representations of the absolute Galois ...
We establish the automorphy of some families of 2-dimensional representations of the absolute Galois...
Let $F$ be a CM number field. We prove modularity lifting theorems forregular $n$-dimensional Galois...
We present an algorithm to determine if the $L$-series associated to an automorphic representation a...
We prove modularity of some two dimensional 2-adic Galois representations over a totally real field ...
The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally ...
This dissertation focus on automorphy lifting theorems and related questions. There are two primary ...
We present an algorithm to determine if the L-series associated to an automorphic representation and...
AbstractWe study generalisations to totally real fields of the methods originating with Wiles and Ta...
Let ρ be a two-dimensional modulo p representation of the absolute Galois group of a totally real nu...
In §1, we introduce the notion of potential stable automorphy of modular galois representations, and...
In this paper, we consider representations of the absolute Galois group Gal(ℚ/ℚ) attached to modular...
(Article begins on next page) The Harvard community has made this article openly available. Please s...
We prove that, under some mild conditions, a two dimensional p-adic Galois representation which is r...
AbstractFor a given odd two-dimensional representation ρ over Fp of the absolute Galois group GE of ...
In this paper, we study the level lowering problem for mod 2 representations of the absolute Galois ...
We establish the automorphy of some families of 2-dimensional representations of the absolute Galois...
Let $F$ be a CM number field. We prove modularity lifting theorems forregular $n$-dimensional Galois...
We present an algorithm to determine if the $L$-series associated to an automorphic representation a...
We prove modularity of some two dimensional 2-adic Galois representations over a totally real field ...
The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally ...
This dissertation focus on automorphy lifting theorems and related questions. There are two primary ...
We present an algorithm to determine if the L-series associated to an automorphic representation and...
AbstractWe study generalisations to totally real fields of the methods originating with Wiles and Ta...
Let ρ be a two-dimensional modulo p representation of the absolute Galois group of a totally real nu...
In §1, we introduce the notion of potential stable automorphy of modular galois representations, and...
In this paper, we consider representations of the absolute Galois group Gal(ℚ/ℚ) attached to modular...
(Article begins on next page) The Harvard community has made this article openly available. Please s...
We prove that, under some mild conditions, a two dimensional p-adic Galois representation which is r...
AbstractFor a given odd two-dimensional representation ρ over Fp of the absolute Galois group GE of ...
In this paper, we study the level lowering problem for mod 2 representations of the absolute Galois ...