Introduction to Shimura Varieties

组织者 Organizer:Eduard Looijenga,自云鹏
时间 Time: 每周三19:00-21:00,2019-3-13 ~ 6.30
地点 Venue:清华大学近春园西楼第一会议室

报告摘要 Abstract


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.


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.