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arXiv · 1809.01010

$p$-stabilization in higher dimension

Pascal Boyer
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Abstract

Using $l$-adic completed cohomology in the context of Shimura varieties of Kottwitz-Harris-Taylor type attached to some fixed similitude group $G$, we prove, allowing to increase the levet at $l$, some new automorphic congruences between any degenerate automorphic representation with a non degenerate one of the same weight.

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Pascal Boyer. 2018-08-31. $p$-stabilization in higher dimension. https://arxiv.org/abs/1809.01010

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