The weight in a Serre-type conjecture for tame n-dimensional Galois representations
Number Theory
2019-12-19 v2
Abstract
We formulate a Serre-type conjecture for n-dimensional Galois representations that are tamely ramified at p. The weights are predicted using a representation-theoretic recipe. For n = 3 some of these weights were not predicted by the previous conjecture of Ash, Doud, Pollack, and Sinnott. Computational evidence for these extra weights is provided by calculations of Doud and Pollack. We obtain theoretical evidence for n = 4 using automorphic inductions of Hecke characters.
Keywords
Cite
@article{arxiv.0803.0185,
title = {The weight in a Serre-type conjecture for tame n-dimensional Galois representations},
author = {Florian Herzig},
journal= {arXiv preprint arXiv:0803.0185},
year = {2019}
}
Comments
68 pages, revised (mainly added appendix that generalises Jantzen's theorem on the reduction modulo p of Deligne--Lusztig representations)