Wildly Ramified Galois Representations and a Generalization of a Conjecture of Serre
Doud, Darrin
Experiment. Math., Tome 14 (2005) no. 1, p. 119-127 / Harvested from Project Euclid
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Serre's conjecture relates two-dimensional odd irreducible characteristic $p$ representations to modular forms. We discuss a generalization of this conjecture (due to Ash and Sinnott) to higher-dimensional Galois representations. In particular, we give a refinement of the conjecture in the case of wildly ramified Galois representations and we provide computational evidence for this refinement.
Publié le : 2005-05-14
Classification:  Galois representations,  cohomology,  reciprocity laws,  Serre’s conjecture,  11F80,  11F75 
@article{1120145575,
     author = {Doud, Darrin},
     title = {Wildly Ramified Galois Representations and a Generalization of a Conjecture of Serre},
     journal = {Experiment. Math.},
     volume = {14},
     number = {1},
     year = {2005},
     pages = { 119-127},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1120145575}
}

Doud, Darrin. Wildly Ramified Galois Representations and a Generalization of a Conjecture of Serre. Experiment. Math., Tome 14 (2005) no. 1, pp.  119-127. http://gdmltest.u-ga.fr/item/1120145575/