Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Galois representations   In the first part of this paper we try to explain to a general mathematical
audience some of the remarkable web of conjectures linking representations of
Galois groups with algebraic geometry, complex analysis and discrete subgroups
of Lie groups. In the second part we briefly review some limited recent
progress on these conjectures.

5
The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
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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: dg-ga
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th