Drinfeld shtukas and the Langlands correspondence

• 成果类型: Article
• 署名作者: Lafforgue, L
• 署名单位: Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Paris Saclay; Universite Paris Saclay
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s002220100174
• 发表日期: 2002
• 页码: 1-+
• 关键词: verdier trace formula; reductive groups; euler products; conjecture; CLASSIFICATION; compactification; REPRESENTATIONS; sheaves; terms; gl(n)

摘要

One proves Langlands' correspondence for GL, over function fields. This is a generalization of Drinfeld's proof in the case of rank 2 : Langlands' correspondence is realized in l-adic cohomology spaces of the modular varieties classifying rank r Drinfeld shtukas.