On the weights of mod $p$ Hilbert modular forms

Toby Gee

On the weights of mod $p$ Hilbert modular forms

Number Theory 2010-09-07 v3

Authors: Toby Gee

Abstract

We prove many cases of a conjecture of Buzzard, Diamond and Jarvis on the possible weights of mod $p$ Hilbert modular forms, by making use of modularity lifting theorems and computations in $p$ -adic Hodge theory.

Keywords

modular forms hodge theory p-adic hodge theory

Cite

@article{arxiv.math/0601516,
  title  = {On the weights of mod $p$ Hilbert modular forms},
  author = {Toby Gee},
  journal= {arXiv preprint arXiv:math/0601516},
  year   = {2010}
}

Comments

34 pages. Essentially final version, to appear in Inventiones mathematicae. This version does not incorporate any minor changes (e.g. typographical changes) made in proof

Related papers

View all related →