Explicit reduction modulo $p$ of certain crystalline representations
Number Theory
2010-09-07 v2
Abstract
We use the p-adic local Langlands correspondence for GL_2(Q_p) to explicitly compute the reduction modulo p of crystalline representations of small slope, and give applications to modular forms.
Cite
@article{arxiv.0804.1164,
title = {Explicit reduction modulo $p$ of certain crystalline representations},
author = {Kevin Buzzard and Toby Gee},
journal= {arXiv preprint arXiv:0804.1164},
year = {2010}
}
Comments
10 pages, appeared in IMRN 2009, no. 12. This version does not incorporate any minor changes (e.g. typographical changes) made in proof