Abstract homotopy theory

Speaker:Dingxin Zhang
Schedule: Mon & Wed 08:00-09:35, 2019-9-9 ~ 12-4
Venue:Conference Room 3, Jin Chun Yuan West Bldg.

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.

Prerequisite

Category theory. Basic algebraic geometry.

Reference

[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).