INdAM Program on Serre Conjectures and the p-adic local Langlands program
In their work on Sato-Tate, Clozel-Harris-Taylor proposed a generalization of the Iharas lemma in
higher dimension for some similitude groups. In this talk I will explain how to prove some particular
cases through the study of the torsion in the cohomology of KHT Shimura varieties. In application