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Fargues-Rapoport conjecture for p-adic period domains
时间  Datetime
2017-12-11 10:00 — 12:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Chen, Miaofen
单位  Affiliation
East China Normal University
邀请人  Host
Ma, Jia-Jun
报告摘要  Abstract

Rapoport and Zink introduce the admissible locus and the weakly admissible locus inside the rigid analytic p-adic flag varieties. The admissible locus is related to the crystalline representations. And the weakly admissible locus is an approximation of the admissible locus obtained by removing a profinite set of closed Schubert varieties. In this talk, we will prove Fargues-Rapoport conjecture which gives a characterization when the admissible locus and the weakly admissible locus coincide. The main ingredient of the proof consists in a thorough study of modifications of G-bundles of Fargues-Fontaine curve. This is a joint work with Laurent Fargues and Xu Shen.