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Rapoport-Zink uniformization of Shimura varieties
申旭 研究员(中国科学院晨兴数学研究所)
2018-01-01 12:13  华东师范大学

摘要:In this talk, we discuss some arithmetic geometrical structures of Shimura varieties. We will start with some review on Drinfeld's construction of p-adic uniformization for Shimura curves associated to an indefinite quaternion algebra over Q which is ramified at p. Then we will introduce the most general Rapoport-Zink spaces, and we will explain how to use them to uniformize certain pieces of Shimura varieties of abelian type.