Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An extension in the Adams spectral sequence in dimension 54   We establish a hidden extension in the Adams spectral sequence converging to
the stable homotopy groups of spheres at the prime 2 in the 54-stem. This
extension is exceptional in that the only proof we know proceeds via
Pstragowski's category of synthetic spectra. This was the final unresolved
hidden 2-extension in the Adams spectral sequence through dimension 80. We hope
this provides a concise demonstration of the computational leverage provided by
$\mathbb{F}_2$-synthetic spectra.

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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci