Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functoriality of automorphic L-invariants and applications   We study the behaviour of automorphic L-Invariants associated to cuspidal
representations of GL(2) of cohomological weight 0 under abelian base change
and Jacquet-Langlands lifts to totally definite quaternion algebras.
  Under a standard non-vanishing hypothesis on automorphic L-functions and some
technical restrictions on the automorphic representation and the base field we
get a simple proof of the equality of automorphic and arithmetic L-invariants.
This together with Spiess' results on p-adic L-functions yields a new proof of
the exceptional zero conjecture for modular elliptic curves - at least, up to
sign.

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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: stat
7
The categories of this paper are: hep-th
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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-bio
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga