Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stabilizers of irreducible components of affine Deligne--Lusztig
  varieties   We study the $J_b(F)$-action on the set of top-dimensional irreducible
components of affine Deligne--Lusztig varieties in the affine Grassmannian. We
show that the stabilizer of any such component is a parahoric subgroup of
$J_b(F)$ of maximal volume, verifying a conjecture of X.~Zhu. As an
application, we give a description of the set of top-dimensional irreducible
components in the basic locus of Shimura varieties.

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The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph