6 citations · 13 across the 8 of their papers we have counts for
8 papers
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…
-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…
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…
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…
On the ordinary Hecke orbit conjecture
Pol van Hoften
We prove the ordinary Hecke orbit conjecture for Shimura varieties of Hodge type at primes of good reduction. We make use of the global Serre-Tate coordinates of Chai as well as re…
Monodromy and Irreducibility of Igusa Varieties
Pol van Hoften, Luciena Xiao Xiao
We determine the irreducible components of Igusa varieties for Shimura varieties of Hodge type under a mild condition and use that to compute the irreducible components of central…
Mod points on Shimura varieties of parahoric level (with an appendix by Rong Zhou)
Pol van Hoften
We study the mod -points of the Kisin--Pappas integral models of Shimura varieties of Hodge type with parahoric level. We show that if the group is quasi-split, then every isoge…
A geometric Jacquet-Langlands correspondence for paramodular Siegel threefolds
Pol van Hoften
We study the Picard-Lefschetz formula for the Siegel modular threefold of paramodular level and prove the weight-monodromy conjecture for its middle degree inner cohomology with ar…