动机理论是代数几何中的热门课题。本项目计划通过闭链代数去研究椭圆动机基本群。除了给出固定椭圆曲线去掉一个点的动机基本群的精细结构之外，我们希望通过在研究的过程中找到更多椭圆曲线及其自乘上面的特殊闭链。最后我们希望构造出从动机基本群到其它基本群之间的实现映射。

Motive theory is a hot topic in algberaic geometry. The aim of this project is to study the motivic elliptic fundamental group via the apporach of cycle algebras over a fixed elliptic curve. Besides studying the explicit structure of motivic fundamental group for a given punctured elliptic curve, we want to find some special algebraic cycles on the ellitpic curve or its self-products. Finally we want to construct the realization map from the motivic fundamental group to other type fundamental groups.