Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Affine Grassmannians and the geometric Satake in mixed characteristic   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.

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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th