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Ihara's Lemma in higher dimension: the limit case

Abstract

Clozel, Harris and Taylor proposed conjectural generalizations of the classical Ihara's lemma for $\GL_2$, to higher dimensional similitude groups. We prove these conjectures in the so called limit case under some mild hypothesis coming from a level raising theorem of Gee.
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Dates and versions

hal-04078112 , version 1 (22-04-2023)

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Attribution - CC BY 4.0

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  • HAL Id : hal-04078112 , version 1

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Pascal Boyer. Ihara's Lemma in higher dimension: the limit case. 2023. ⟨hal-04078112⟩
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