Affine Grassmannians and the geometric Satake in mixed characteristic

• 成果类型: Article
• 署名作者: Zhu, Xinwen
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2017.185.2.2
• 发表日期: 2017
• 页码: 403-492
• 关键词: deligne-lusztig varieties; p-divisible groups; MODULI SPACES; REPRESENTATIONS; ALGEBRAS; rings

摘要

We endow the set of lattices in Q(P)(n) with a reasonable algebro-geometric structure. As a result, we prove the representability of affine Grassmannians and establish the geometric Satake equivalence in mixed characteristic. We also give an application of our theory to the study of Rapoport-Zink spaces.