Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant Vectors for Weak Endoscopic and Saito-Kurokawa Lifts to GSp(4)   Let A be the adele ring over a totally real number field F. For cohomological
cuspidal automorphic irreducible representations of GSp(4,A) coming from weak
endoscopic or Saito-Kurokawa Lifts we determine the local invariant spaces
under the first principal congruence subgroup at the non-archimedean places.
For F=Q this gives rise to dimension formulas regarding certain subspaces of
the inner cohomology of the genus two Shimura variety corresponding to the
principal congruence subgroup level N=2. We prove the conjectures made by
Bergstr\"om, Faber and van der Geer in a recent paper.

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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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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: math-ph