Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abhyankar's conjectures in Galois theory: Current status and future
  directions   In this paper, we survey the major contributions of Abhyankar to the
development of the theory of fundamental groups and Galois covers in positive
characteristic. We first discuss the current status of four conjectures of
Abhyankar about Galois covers in positive characteristic. Then we discuss
research directions inspired by Abhyankar's work, including many open problems.

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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin