Langlands Base Change for GL(2)
Number Theory
2011-06-20 v3
Abstract
Let F be a totally real Galois number field. We prove the existence of base change relative to the extension F/Q for every classical newform of odd level, under simple local assumptions on the field F.
Keywords
Cite
@article{arxiv.0912.2080,
title = {Langlands Base Change for GL(2)},
author = {Luis Dieulefait},
journal= {arXiv preprint arXiv:0912.2080},
year = {2011}
}
Comments
27 pages. Main result improved: now there is no condition on the primes in the level of the newform (they are allowed to ramify in F)