Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Galois action on geometric lattices and the mod-$\ell$ I/OM   This paper studies the Galois action on a special lattice of geometric
origin, which is related to mod-$\ell$ abelian-by-central quotients of
geometric fundamental groups of varieties. As a consequence, we formulate and
prove the mod-$\ell$ abelian-by-central variant/strengthening of a conjecture
due to Ihara/Oda-Matsumoto.

19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex