中科院数学与系统科学研究院
数学研究所
学术报告会
报告人:Prof. Kai-Wen Lan(University of Minnesota)
题 目:Compactifications of PEL-type Shimura varieties in ramified characteristics
时 间:12.18 (星期五) 上午09 :30-10 :45
地 点:数学院南楼N820室
摘要:
I will report on what we know about the compactifications of PEL-type Shimura varieties in ramified characteristics, allowing arbitrary levels, when they are simply defined by taking normalizations in certain auxiliary good reduction integral models. While we cannot expect them to be smooth, I will explain that they still enjoy many nice properties comparable to the good reduction cases. If time permits, I will also talk about a construction for the splitting models introduced by Pappas and Rapoport.