Ihara's Lemma for $\mathrm{GL}_d$: the limit case
Number Theory
2025-10-03 v6
Abstract
Clozel, Harris and Taylor proposed conjectural generalizations of the classical Ihara's lemma for , 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.
Cite
@article{arxiv.2304.11351,
title = {Ihara's Lemma for $\mathrm{GL}_d$: the limit case},
author = {Pascal Boyer},
journal= {arXiv preprint arXiv:2304.11351},
year = {2025}
}
Comments
correction of some typos, and more details