Ihara's Lemma for $\mathrm{GL}_d$: the limit case - HAL UNIV-PARIS8 - open access Access content directly
Preprints, Working Papers, ... Year : 2024

Ihara's Lemma for $\mathrm{GL}_d$: the limit case

Abstract

Clozel, Harris and Taylor proposed conjectural generalizations of the classical Ihara's lemma for $\mathrm{GL}_2$, to higher dimensional similitude groups. We prove these conjectures in the so called limit case, which after base change is the essential one, under any hypothesis allowing level raising.
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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 3

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Pascal Boyer. Ihara's Lemma for $\mathrm{GL}_d$: the limit case. 2024. ⟨hal-04078112v3⟩
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