7 papers
-adic Maass--Shimura operators on -ordinary Igusa varieties
Andrew Graham, Pol van Hoften, Sean Howe
For Shimura varieties of Hodge type, we optimally extend algebraic Maass--Shimura differential operators on -integral nearly holomorphic automorphic forms to differential operat…
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…
On a conjecture of Pappas and Rapoport
Patrick Daniels, Pol van Hoften, Dongryul Kim +1
We prove a conjecture of Pappas and Rapoport about the existence of ''canonical'' integral models of Shimura varieties of Hodge type with quasi-parahoric level structure at a prime…
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…
-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…
Hecke orbits on Shimura varieties of Hodge type
Marco D'Addezio, Pol van Hoften
We prove the Hecke orbit conjecture of Chai--Oort for Shimura varieties of Hodge type at odd primes of good reduction. We use a novel result for the local monodromy groups of -i…