Hilbert modular forms and p-adic Hodge theory
Number Theory
2019-02-20 v2
Abstract
We consider the p-adic Galois representation associated to a Hilbert modular form. We show the compatibility with the local Langlands correspondence at a place divising p under a certain assumption. We also prove the monodromy-weight conjecture. The prime-to-p case is established by Carayol.
Cite
@article{arxiv.math/0612077,
title = {Hilbert modular forms and p-adic Hodge theory},
author = {Takeshi Saito},
journal= {arXiv preprint arXiv:math/0612077},
year = {2019}
}
Comments
45 pages: page size adjusted