Conjecture de type de Serre et formes compagnons pour GSp_4

Details Conjecture de type de Serre et formes compagnons pour GSp_4 Conjecture de type de Serre et formes compagnons pour GSp_4

2008-12-08

arxiv.org/abs/0812.1525v4

Mathematics

Number Theory

36 pages

Scientific paper

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 etale 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 moreover tamely ramified at p, we conjecture that all weights of this list are modular, otherwise we describe a subset of weights on the list that should be modular. We propose a construction of de Rham cohomology classes using the dual BGG complex, which should realise some of these weights.

Affiliated with

Also associated with

No associations

Rating

Conjecture de type de Serre et formes compagnons pour GSp_4 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Conjecture de type de Serre et formes compagnons pour GSp_4, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conjecture de type de Serre et formes compagnons pour GSp_4 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-319387