Conjecture de type de Serre et formes compagnons pour GSp 4

@inproceedings{Herzig2011ConjectureDT,
  title={Conjecture de type de Serre et formes compagnons pour GSp 4},
  author={F. Herzig and Jacques Tilouine},
  year={2011}
}
We present a Serre-type conjecture on the modularity of four-dimensional symplectic mod p Galois representations. We assume that the Galois representation is irreducible and odd (in the symplectic sense). The modularity condition is formulated using the étale and the algebraic de Rham cohomology of Siegel modular varieties of level prime to p. We concentrate on the case when the Galois representation is ordinary at p and we give a corresponding list of Serre weights. When the representation is… CONTINUE READING