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Connected components of moduli spaces of p-divisible groups
陈苗芬博士
2018-01-01 12:13  华东师范大学

报告人:陈苗芬

时间:2012年8月29日(星期三),下午:2:30-3:30

地点:中山北路校区理科大楼A座1510房间

报告人简介:女,1982年1月生。
Research interests
Number theory and arithmetic algebraic geometry
Research topic: p-divisible groups and their moduli spaces (i.e. Rapoport-Zink spaces), affine Deligne-Lusztig varieties.

2006-2011: Ph.D Student, University Paris XI, Orsay France
Ph.D degree, Thesis advisor: Laurent Fargues
Title of thesis: Le morphisme d′eterminant pour les espaces de modules de groupes p-divisibles (the determinant morphism for the moduli spaces of p-divisible groups)
Thesis defended on the 11th May 2011
• 2005-2006: Master student, 2nd year, University Paris XI, Orsay France
Master degree, Master “Analyse, Arithm′etique et G′eom′etrie”
Advisor: Laurent Fargues
• 2004-2005: Master student, 1st year, Tsinghua University, Beijing China
Advisor: Linsheng Yin
• 2000-2004: Undergraduate student, Tsinghua University, Beijing China
Bachelor degree

Title: Connected components of moduli spaces of p-divisible groups

Abstract: The moduli spaces of p-divisible groups are the local analogue of Shimura varieties introduced by Rapoport and Zink. They are formal schemes over the ring of integers of some non-archimedean field. We first determine the set of connected components of Rapoport-Zink spaces on the special fiber by studying the corresponding affine Deligne-Lusztig varieties. This part is a joint work with Mark Kisin and Eva Viehmann. We then determine the set of geometrically connected components of the generic fiber of Rapoport-Zink spaces with level structures as rigid analytic spaces by using p-adic Hodge theory