数论与表示论讨论班——Compactifications of subschemes of integral models of Hodge-type Shimura varieties

报告人：Shengkai Mao（Chinese Academy of Sciences）

时间：2025年4月30日，16:00-17:00

地点：紫金港校区东7数高院一楼报告厅

组织者：Dongwen Liu, Yifeng Liu,

                Andreas Mihatsch, Binyong Sun

摘要：The special fiber of the integral model of a Hodge-type Shimura variety with parahoric level structure admits several natural stratifications that reflect the geometry of the associated universal abelian scheme. In this talk, I will present some new results on the compactification theory of such integral models constructed by Keerthi Madapusi, and describe the boundary behavior of various strata, including central leaves, Newton strata, Kottwitz–Rapoport strata, and Ekedahl–Kottwitz–Oort–Rapoport strata. This latter work builds on and generalizes some work by Kai-Wen Lan and Benoît Stroh.