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

Pascal Boyer

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arXiv · 2304.11351

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

Pascal Boyer

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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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Pascal Boyer. 2023-04-22. Ihara's Lemma for $\mathrm{GL}_d$: the limit case. https://arxiv.org/abs/2304.11351

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