Langlands base change for GL (2)

• 成果类型: Article
• 署名作者: Dieulefait, Luis
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2012.176.2.7
• 发表日期: 2012
• 页码: 1015-1038
• 关键词: serres conjecture; REPRESENTATIONS

摘要

Let F be a totally real Galois number field. We prove the existence of base change relative to the extension F/Q for every holomorphic newform of weight at least 2 and odd level, under simple local assumptions on the field F.