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.
Domains
Mathematics [math]
Origin : Files produced by the author(s)