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On representations attached to generic level p Harder congruences

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Preprint
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arXiv ID: 1605.03450
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arXiv
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Abstract

We investigate the interplay between Galois and automorphic representations coming from generic Harder type congruences for degree 2 Siegel modular forms. Using Local Langlands results for GSp4 we see conditions that guarantee the existence of a level p paramodular form satisfying the congruence. These conditions provide theoretical justification for numerical evidence found in the author's previous paper.

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