题目：Bruhat-Tits buildings and p-adic period domains  

报告人：申旭 研究员 （中国科学院数学与系统科学研究院）

摘要：Rémy-Thuillier-Werner constructed embeddings of Bruhat-Tits buildings into the Berkovich spaces associated to suitable flag varieties (generalizing the work of Berkovich for split groups), and defined compactifications of BT buildings by taking closure inside these Berkovich flag varieties. We show that, in the setting of a local Shimura datum, the RTW embedding factors through the associated p-adic period domain (defined by the Fargues-Fontaine curve). This brings the question to compare these two p-adic candidates of symmetric spaces: topological and combinatorial vs p-adic analytic. We will compare the boundaries of the BT buildings and non basic Newton strata. Moreover, we will discuss some applications to cohomology and smooth representations. This is joint work in progress with Ruishen Zhao.

报告时间：2024年6月26日上午10：00-11：00

报告地点：教二楼 913

联系人：童纪龙