Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The ring of U-operators: Definitions and Integrality   In this paper, we define and study the arithmetic of the ring of
$\mathbb{U}$-operators for reductive $p$-adic groups. These operators
generalise the notion of "successor" operators for trees with a marked end. We
show that they are integral over the spherical Hecke algebra. This integrality
intervenes crucially in the construction of Euler systems obtained from special
cycles of general Shimura varieties and the generalization of the famous
Eichler-Shimura relation.

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The categories of this paper are: funct-an
16
The categories of this paper are: stat
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
7
The categories of this paper are: hep-th