On Exotic Hecke Correspondences

Explore advanced mathematical concepts in this lecture on exotic Hecke correspondences between mod p-fibers of different Shimura varieties of Hodge type. Delve into ongoing research by Pol van Hoften and Jack Sempliner, which extends the forthcoming results of Xiao-Zhu. Examine the novel situation where the groups underlying the two different Shimura varieties are allowed to be non-isomorphic at p. Discover how these findings lead to exotic isomorphisms of Igusa varieties, similar to the work of Caraiani-Tamiozzo. Gain insights into cutting-edge developments in algebraic geometry and number theory during this hour-long presentation from the Hausdorff Center for Mathematics.