The Langlands-Kottwitz approach for some simple Shimura varieties

• 成果类型: Article
• 署名作者: Scholze, Peter
• 署名单位: University of Bonn
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-012-0419-y
• 发表日期: 2013
• 页码: 627-661
• 关键词: fundamental lemma; REPRESENTATIONS

摘要

We show how the Langlands-Kottwitz method can be used to determine the semisimple local factors of the Hasse-Weil zeta-function of certain Shimura varieties. This is made possible by a new result describing part of the nearby cycle sheaves in certain situations. In combination with a general base-change lemma in harmonic analysis, we use this to prove a conjecture of Haines and Kottwitz for these Shimura varieties.