Langlands program for $p$-adic coefficients and the petites camarades conjecture
Algebraic Geometry
2011-11-11 v1
Abstract
In this paper, we prove that, if Deligne's "petites camarades conjecture" holds, then a Langlands type correspondence holds also for -adic coefficients on a smooth curve over a finite field. We also prove that any overconvergent -isocrystal of rank less than or equal to 2 on a smooth variety is -mixed.
Cite
@article{arxiv.1111.2479,
title = {Langlands program for $p$-adic coefficients and the petites camarades conjecture},
author = {Tomoyuki Abe},
journal= {arXiv preprint arXiv:1111.2479},
year = {2011}
}