Affine Grassmannians and the geometric Satake in mixed characteristic
Algebraic Geometry
2016-07-21 v3 Number Theory
Representation Theory
Abstract
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 correspondence in mixed characteristic. We also give an application of our theory to the study of Rapoport-Zink spaces.
Cite
@article{arxiv.1407.8519,
title = {Affine Grassmannians and the geometric Satake in mixed characteristic},
author = {Xinwen Zhu},
journal= {arXiv preprint arXiv:1407.8519},
year = {2016}
}
Comments
63 pages. Fix a gap in the proof of Theorem A.29. A few more details added and exposition improved