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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…