Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on weights of nearby cycles and Wakimoto sheaves on affine flag
  manifolds   We study certain nearby cycles sheaves on an affine flag manifold which arise
naturally in the Beilinson-Gaitsgory deformation of the affine flag manifold to
the affine Grassmannian. We study the multiplicity functions we introduced in
an earlier paper, which encode the data of the Jordan-Hoelder series. We prove
the multiplicity functions are polynomials in q, and we give a sharp bound for
their degrees. Our results apply as well to the nearby cycles in the p-adic
deformation of Laumon-Haines-Ngo, and also to Wakimoto sheaves.

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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th