Ihara's Lemma in higher dimension: the limit case

Pascal Boyer (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

Clozel, Harris and Taylor proposed conjectural generalizations of the classical Ihara's lemma for $\GL_2$, to higher dimensional similitude groups. We prove these conjectures in the so called limit case under some mild hypothesis coming from a level raising theorem of Gee.

Domains: Mathematics [math]

Pascal Boyer. Ihara's Lemma in higher dimension: the limit case. 2023. ⟨hal-04078112v2⟩