3 papers
math.NT2026
Igusa Stacks and the Cohomology of Shimura Varieties II
Patrick Daniels, Pol van Hoften, Dongryul Kim +1
We construct Igusa stacks for all Shimura varieties of abelian type and derive consequences for the cohomology of these Shimura varieties. As an application, we prove that the Farg…
math.NT2025
-adic Fourier theory in families
Andrew Graham, Pol van Hoften, Sean Howe
We construct Fourier transforms relating functions and distributions on finite height -divisible rigid analytic groups and objects in a dual category of -local sys…
math.NT2024
Igusa Stacks and the Cohomology of Shimura Varieties
Patrick Daniels, Pol van Hoften, Dongryul Kim +1
We construct functorial Igusa stacks for all Hodge-type Shimura varieties, proving a conjecture of Scholze and extending earlier results of the fourth-named author for PEL-type Shi…