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Media type:
E-Article
Title:
Affine Grassmannians and the geometric Satake in mixed characteristic
Contributor:
Zhu, Xinwen
Published:
Department of Mathematics at Princeton University, 2017
Published in:
Annals of Mathematics, 185 (2017) 2, Seite 403-492
Language:
English
ISSN:
0003-486X
Origination:
Footnote:
Description:
We endow the set of lattices in ${\mathrm{\mathbb{Q}}}_{\mathrm{p}}^{\mathrm{n}}$ 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.