Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the $l$-adic cohomology of some $p$-adically uniformized Shimura
  varieties   We determine the Galois representations inside the $l$-adic cohomology of
some unitary Shimura varieties at split places where they admit uniformization
by finite products of Drinfeld upper half spaces. Our main results confirm
Langlands-Kottwitz's description of the cohomology of Shimura varieties in new
cases.

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The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol