Abstract. We give a parametrization of the possible Serre invariants (N, k, ν) of modular mod ` Galois representations of the exceptional types A4, S4, A5, in terms of local data attached to the fields cut out by the associated projective representations. We show how this result combined with certain global considerations leads to an effective procedure that will determine for a given eigenform f and prime ` whether a mod ` representation attached to f is exceptional. We illustrate with numerical examples. 1. Introduction. Suppose that f is a eigenform of weight ≥ 2 for some Γ1(M), and let ` be a prime number. If λ is a prime of Q above ` then by a construction [12] of Deligne followed by reduction mod λ and semisimplification, there is att...
We give tables of modular Galois representations obtained using the algo-rithm which we described in...
We study the weight part of Serre's conjecture for generic $n$-dimensional mod $p$ Galois representa...
In the 1970s, Serre formulated his remarkable conjecture that every two-dimensional mod-p Galois rep...
AbstractWe give a parametrization of the possible Serre invariants (N,k,ν) of modular modℓ Galois re...
Let (f, f) denote the mod p local Hecke algebra attached to a normalized Hecke eigenform f, which is...
We compute modular Galois representations associated with a newform $f$, and study the related probl...
Let ρ f,λ be the residual Galois representation attached to a newform f and a prime ideal λ in the i...
A generalization of the weight part of Serre's conjecture asks for which Serre weights a given mod p...
International audienceLet F/Q be a CM field where p splits completely and ¯ r : Gal(Q/F) → GL 3 (Fp)...
This document consists of rough notes for a talk given at the Luminy conference on Serre’s conjectur...
Comments welcome!We study the weight part of Serre's conjecture for generic $n$-dimensional mod $p$ ...
AbstractIn a previous paper the second author proved that the image of the Galois representation mod...
We show how the output of the algorithm to compute modular Galois representations described in our p...
Let F be a number field, G_F its absolute Galois group, and ρ: G_F → GL_4(C) an irreducible continuo...
International audienceWe show how the output of the algorithm to compute modular Galois representati...
We give tables of modular Galois representations obtained using the algo-rithm which we described in...
We study the weight part of Serre's conjecture for generic $n$-dimensional mod $p$ Galois representa...
In the 1970s, Serre formulated his remarkable conjecture that every two-dimensional mod-p Galois rep...
AbstractWe give a parametrization of the possible Serre invariants (N,k,ν) of modular modℓ Galois re...
Let (f, f) denote the mod p local Hecke algebra attached to a normalized Hecke eigenform f, which is...
We compute modular Galois representations associated with a newform $f$, and study the related probl...
Let ρ f,λ be the residual Galois representation attached to a newform f and a prime ideal λ in the i...
A generalization of the weight part of Serre's conjecture asks for which Serre weights a given mod p...
International audienceLet F/Q be a CM field where p splits completely and ¯ r : Gal(Q/F) → GL 3 (Fp)...
This document consists of rough notes for a talk given at the Luminy conference on Serre’s conjectur...
Comments welcome!We study the weight part of Serre's conjecture for generic $n$-dimensional mod $p$ ...
AbstractIn a previous paper the second author proved that the image of the Galois representation mod...
We show how the output of the algorithm to compute modular Galois representations described in our p...
Let F be a number field, G_F its absolute Galois group, and ρ: G_F → GL_4(C) an irreducible continuo...
International audienceWe show how the output of the algorithm to compute modular Galois representati...
We give tables of modular Galois representations obtained using the algo-rithm which we described in...
We study the weight part of Serre's conjecture for generic $n$-dimensional mod $p$ Galois representa...
In the 1970s, Serre formulated his remarkable conjecture that every two-dimensional mod-p Galois rep...