Ihara's Lemma for GL_d: the limit case

2023/04/22 by Pascal Boyer, Boyer, Pascal
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2304.11351

Abstract

Clozel, Harris and Taylor proposed conjectural generalizations of the classical Ihara's lemma for GL₂, 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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