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Preprints, Working Papers, ... Year : 2023

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)
hal-04078112 , version 2 (13-06-2023)
hal-04078112 , version 3 (21-04-2024)

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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-04078112v1⟩
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