On the functorial behavior of Ekedahl-Oort strata for unitary and orthogonal Shimura Varieties

Release time:2025-11-17Views:10



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: FridayNovember 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.

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