Introduction to Shimura Varieties
Speaker: Zhong Yiming
Title: The Complex Multiplication
Abstract: This time I will discuss the Shimura-Taniyama formula and introduce briefly the main theorem of complex multiplication.
Speaker: Wang Bin
Title: Shimura Varieties of PEL type and of Abelian type
Abstract: We will continue to talk about Shimura datum of PEL type. Then we will talk about SVs of Abelian type.
Speaker: Zi Yunpeng
Title: Shimura Variety of Hodge Type
Abstract: We will recall Siegel Modular Variety we learned last time. Then we will try to explain the relation between this variety and the moduli of principally polarized abelian variety with a level structure. Finally we will give the explain the general definition of Shimura Variety of Hodge Type.
Speaker: 林汛Lin Xun
Title: The Siegel modular variety
Abstract: We will study the basic example of Shimura varieties, the Siegel modular variety. If time permits, I will study the Shimura varieties of Hodge type.
Speaker: Sarah Dijols
Title: To general Shimura varieties
Abstract: We explain how to pass from the notion of connected Shimura varieties to general ones. This part also covers in a second time, the structure of a Shimura varieties and zero dimensional ones Of a Shimura Variety.
Speaker: 沈大力 Shen Dali
Title: Connected Shimura varieties
Abstract: I will try to explain what a connected Shimura variety is, from two point of views: defined by congruence conditions as well as an ad\`elic description for it.
Speaker: 自云鹏 Zi Yunpeng
Title: Arithmetic Subgroups and Locally Symmetric
Abstract: In this talk we will discuss about the definition of arithmetic subgroups and locally symmetric varieties and their properties.
Speaker: Prof. Eduard Looijenga
Title: Motivating the notion of a Shimura variety
Abstract: A Shimura variety is in first approximation the quotient of a certain type of homogeneous space by an arithmetic group and which is defined over a specific number field. It is a natural generalization of the classical example of the upper half plane divided out by the integral modular group (that yields the j-line).
We shall give some examples to illustrate this notion.