Affine Grassmannians and the geometric Satake in mixed characteristic

Pages 403-492 from Volume 185 (2017), Issue 2 by Xinwen Zhu

Abstract

We endow the set of lattices in $\mathbb{Q}_p^n$ 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.

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Keywords
, , ,
Mathematical Subject Classification
Primary: ,
DOI
https://doi.org/10.4007/annals.2017.185.2.2
MR
3612002
Zbl
06701137
Milestones
Received: 24 October 2014
Revised: 24 June 2016
Accepted: 5 July 2016
Published online: 7 February 2017

Authors

Xinwen Zhu

California Institute of Technology, Pasadena, CA