Introduction to arc spaces

主讲人 Speaker:石井志保子
时间 Time: 周一、周三、周五09:50-11:25,2019-7-8 ~ 12
地点 Venue:清华大学近春园西楼第三会议室

课程描述 Description

The arc space of a variety is introduced by John F. Nash in 1969. Nash also posed  an interesting problem so called "Nash Problem" which took 40 years to be solved. After 2000 it is unveiled that the arc space plays important roles in singularity theory and also in birational geometry. In the course I will introduce the notion of arc spaces, Nash Problem, and various application of the arc spaces into singularity theory and birational geometry.

预备知识 Prerequisites

Chapter 1 and 2 of "Algebraic Geometry" by R. Hartshorne, Springer-Verlag.

参考资料 References

I will tell references to the students in the course.