On exotic Hecke correspondences

The goal of this talk is to explain joint work in progress with Jack Sempliner on the construction of "exotic" Hecke correspondences between the mod p fibers of different Shimura varieties of Hodge type. Our work generalizes forthcoming work of Xiao-Zhu; our results cover the new situation where the groups underlying the two different Shimura varieties are allowed to be to be non-isomorphic at p. As a consequence of our main results, we obtain exotic isomorphisms of Igusa varieties in the style of Caraiani-Tamiozzo which lead to geometric incarnations of the Jacquet--Langlands correspondence.

Pol van Hoften 

VU Amsterdam

My name is Pol van Hoften and I'm an assistant professor (universitair docent) at VU Amsterdam.

I am interested in the Langlands programme, in particular in the mod p and p-adic geometry of Shimura varieties.

Previously I was a postdoctoral fellow at Stanford University mentored by Richard Taylor. Before that, I completed my PhD in mathematics at the London School of Geometry and Number Theory and King's College London. I was supervised by James Newton and Ana Caraiani.