Title: On the functorial behavior of Ekedahl-Oort strata for unitary and orthogonal Shimura Varieties
Speaker: 闫旗军(北京雁栖湖应用数学研究院)
Time: Friday, November 21, 2025, 14:00--15:00
Venue: Room 315, Gewu Building
Abstract: The Ekedahl-Oort stratification of moduli spaces of abelian varieties in characteristic $p$ is defined by isomorphism classes of their $p$-kernels. This stratification naturally extends to more general Shimura varieties. For good reductions of unitary and orthogonal Shimura varieties, these strata often admit an elementary parametrization. In this talk, I will report some numerical results on the functorial behavior of these strata under the Kudla embedding. This is joint work with Chao Zhang.