Thibaud van den Hove

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20222026

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math.AG2026

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 $G_{a}$ -action, and compare them with Whittaker motives via Gaitsgory's Kirillov model. We th…

math.AG2026

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…

math.AG2022

Quasi-isogeny groups of supersingular abelian surfaces via pro-étale fundamental groups

Thibaud van den Hove

We consider a $J_{b} (Q_{p})$ -torsor on the supersingular locus of the Siegel threefold constructed by Caraiani-Scholze, and show that it induces an isomorphism between a free…