Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformations of Galois representations and exceptional monodromy   For any simple algebraic group $G$ of exceptional type, we construct
geometric $\ell$-adic Galois representations with algebraic monodromy group
equal to $G$, in particular producing the first such examples in types
$\mathrm{F}_4$ and $\mathrm{E}_6$. To do this, we extend to general reductive
groups Ravi Ramakrishna's techniques for lifting odd two-dimensional Galois
representations to geometric $\ell$-adic representations.

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The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
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The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th