Alex Youcis

On the Langlands--Kottwitz--Scholze method

Using recent advances in the integral canonical models of Shimura varieties using syntomic methods, we give an extension of the Langlands--Kottwitz--Scholze method from Scholze's paper on the Langlands--Kottwitz method for deformation spaces of $p$-divisible groups. Namely, we define analogues $\phi^{\mathcal{G},\mu}_{...