Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Buildings, elliptic curves, and the K(2)-local sphere   We investigate a dense subgroup Gamma of the second Morava stabilizer group
given by a certain group of quasi-isogenies of a supersingular elliptic curve
in characteristic p. The group Gamma acts on the Bruhat-Tits building for
GL_2(Q_l) through its action on the l-adic Tate module. This action has finite
stabilizers, giving a small resolution for the homotopy fixed point spectrum
(E_2^hGamma)^hGal by spectra of topological modular forms. Here, E_2 is a
version of Morava E-theory and Gal = Gal(barF_p/F_p).

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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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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: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th