Affine Grassmannians and the geometric Satake in mixed characteristic

Published 31 Jul 2014 in math.AG, math.NT, and math.RT | (1407.8519v3)

Abstract: We endow the set of lattices in Q_pⁿ 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.

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Authors (1)

Xinwen Zhu

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