Coatings of the half-plane of Drinfeld and p-adique Langlands correspondence

• 成果类型: Article
• 署名作者: Dospinescu, Gabriel; Le Bras, Arthur-Cesar
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2017.186.2.1
• 发表日期: 2017
• 页码: 321-411
• 关键词: rham cohomology; differential-equations; adic representation; SPACES; distributions; (phi

摘要

We describe the de Rham complex of the etale coverings of Drinfeld's p-adic upper half-plane for GL(2)(Q(p)). Conjectured by Breuil and Strauch, this description gives a geometric realization of the p-adic local Langlands correspondence for certain two-dimensional de Rham representations of Gal((Q(p)) over bar /Q(p)).