Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a local conjecture of Jacquet, ladder representations and standard
  modules   Let $E/F$ be a quadratic extension of p-adic fields. We prove that every
smooth irreducible ladder representation of the group $GL_n(E)$ which is
contragredient to its own Galois conjugate, possesses the expected distinction
properties relative to the subgroup $GL_n(F)$. This affirms a conjecture
attributed to Jacquet for a large class of representations. Along the way, we
prove a reformulation of the conjecture which concerns standard modules in
place of irreducible representations.

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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg