2019-5-29
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.
2019-5-15
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.
2019-5-8
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.
2019-4-24
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.
2019-4-10
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.
2019-4-3
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.
2019-3-27
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.
2019-3-13
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.
