3 papers
math.NT2026
A geometric Jacquet--Langlands correspondence for Shimura varieties
Pol van Hoften, Jack Sempliner
We formulate a conjecture predicting the existence of exotic isomorphisms between Igusa stacks associated to different Shimura data whose underlying groups are pure inner forms of…
math.NT2026
-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…
math.NT2024
On the Piatetski-Shapiro construction for integral models of Shimura varieties
Pol van Hoften, Jack Sempliner
We study the Piatetski-Shapiro construction, which takes a totally real field F and a Shimura datum (G,X) and produces a new Shimura datum (H,Y). If F is Galois, then the Galois gr…