Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connectedness of affine Deligne-Lusztig varieties for unramified groups   For unramified reductive groups, we determine the connected components of
affine Deligne-Lusztig varieties in the partial affine flag varieties. Based on
the work of Hamacher-Kim and Zhou, this result allows us to verify, in the
unramified group case, the He-Rapoport axioms, the ``almost product structure"
of Newton strata, and the precise description of mod $p$ isogeny classes
predicted by the Langlands-Rapoport conjecture, for the Kisin-Pappas integral
models of Shimura varieties of Hodge type with parahoric level structure.

15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
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The categories of this paper are: eess
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: econ
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org