Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on methods of Fontaine and Faltings   In this note we prove the non existence of certain irreducible two
dimensional representations of the the absolute Galois group. Such results are
predicted by Serre's conjecture and we use Fontaine's methods to verify these
predictions in a small number of cases. We also use a methods of Faltings to
study certain finiteness conjectures for Galois representations.
  Key words: Serre's conjecture, Fontaine-Mazur conjectures, Galois
representations.

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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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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: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an