4 papers
Exponential motives on the affine Grassmannian
Robert Cass, Thibaud van den Hove, Jakob Scholbach
We develop a notion of exponential motives on general prestacks equipped with a -action, and compare them with Whittaker motives via Gaitsgory's Kirillov model. We th…
Cycles on splitting models of Shimura varieties
Thibaud van den Hove
We construct exotic Hecke correspondences between the special fibers of different PEL type Shimura varieties, when the local groups are restrictions of scalars of unramified groups…
The stack of spherical Langlands parameters
Thibaud van den Hove
For a reductive group over a nonarchimedean local field, we define the stack of spherical Langlands parameters, using the inertia-invariants of the Langlands dual group. This gener…
Quasi-isogeny groups of supersingular abelian surfaces via pro-étale fundamental groups
Thibaud van den Hove
We consider a -torsor on the supersingular locus of the Siegel threefold constructed by Caraiani-Scholze, and show that it induces an isomorphism between a free…