Abstract homotopy theory

任课教师 Speaker:张鼎新
时间 Time: 每周一、周三08:00-09:35, 2019-9-9 ~ 12-4
地点 Venue:清华大学近春园西楼第三会议室

课程描述 Description

After reviewing simplicial homotopy theory, we introduce the framework of model categories. We shall give some applications of this abstract method in algebraic geometry.

预备知识 Prerequisites

Category theory. Basic algebraic geometry.

参考资料 References

[1] Goerss-Jardin: Simplicial homotopy theory;

[2] K. Brown: Abstract homotopy theory and generalized sheaf cohomology (Trans. AMS 1973);

[3] Morel-Voevodsky: A1-homotopy theory of schemes (Pub. Math. IHES 1999).