Structure of p-adic period domains
Time: Mon, 23 Dec 2019, 15:30-17:00
Place: Lecture hall at the 3rd floor, Jinchunyuan West Building
Speaker: Miaofen Chen 陈苗芬 (East China Normal University)
Abstract:
Rapoport and Zink introduce the p-adic period domain (also called the admissible locus) inside the rigid analytic p-adic flag varieties. Over the admissible locus, there exists a universal crystalline ℚp-local system which interpolates a family of crystalline representations. The weakly admissible locus is an approximation of the admissible locus in the sense that these two spaces have the same classical points. The Fargues-Rapoport conjecture for basic local Shimura datum gives a group theoretic characterization when the admissible locus and the weakly admissible locus coincide. In this talk, we will give a similar characterization for non-basic local Shimura datum. We will also discuss the question about where lives the weakly admissible points outside the admissible locus in general.