Explicit Serre weights for two-dimensional Galois representations
Number Theory
2019-02-20 v2
Abstract
We prove the explicit version of the Buzzard--Diamond--Jarvis conjecture formulated by Diamond--Demb\'el\'e--Roberts. More precisely, we prove that it is equivalent to the original Buzzard--Diamond--Jarvis conjecture, which was proved for odd primes (under a mild Taylor--Wiles hypothesis) in earlier work of the third author and coauthors.
Cite
@article{arxiv.1608.06059,
title = {Explicit Serre weights for two-dimensional Galois representations},
author = {Frank Calegari and Matthew Emerton and Toby Gee and Lambros Mavrides},
journal= {arXiv preprint arXiv:1608.06059},
year = {2019}
}
Comments
Final version, to appear in Compositio. 16 pages