On Ihara's lemma for definite unitary groups

2025/04/10 by Yang, Xiangqian · 1 citation
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2504.07504

Abstract

Clozel, Harris, and Taylor proposed a conjectural generalized Ihara's lemma for definite unitary groups. In this paper, we prove their conjecture with banal coefficients under some conditions. As an application, we prove a level-raising result for automorphic forms associated to definite unitary groups.

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