BIMSA-YMSC Tsinghua Number Theory Seminar

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.