Supersingular Galois Representations and a Generalization of Conjecture of Serre
Doud, Darrin
Experiment. Math., Tome 16 (2007) no. 1, p. 119-128 / Harvested from Project Euclid
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Serre's conjecture relates two-dimensional odd irreducible Galois representations over $\bar\F_p$ to modular forms. We discuss a generalization of this conjecture to higher-dimensional Galois representations. In particular, for $n$-dimensional Galois representations that are irreducible when restricted to the decomposition group at $p$, we strengthen a conjecture of Ash, Doud, and Pollack. We then give computational evidence for this conjecture in the case of three-dimensional representations.
Publié le : 2007-05-14
Classification:  Galois representations,  arithmetic cohomology,  11F80,  11F75 
@article{1175789806,
     author = {Doud, Darrin},
     title = {Supersingular Galois Representations and a Generalization of Conjecture of Serre},
     journal = {Experiment. Math.},
     volume = {16},
     number = {1},
     year = {2007},
     pages = { 119-128},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1175789806}
}

Doud, Darrin. Supersingular Galois Representations and a Generalization of Conjecture of Serre. Experiment. Math., Tome 16 (2007) no. 1, pp.  119-128. http://gdmltest.u-ga.fr/item/1175789806/