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.