ZJU-Westlake Derived Algebraic Geometry Learning seminar II (Spring 2023)

ZJU-Westlake Derived Algebraic Geometry Learning seminar II (Spring 2023)

Time and Location：

Monday 15:00-17:00 (every two weeks starting from March 06), Room 101, No. 2 Haina Building, Zijingang Campus, ZheJiang University.

Monday 15:00-17:00 (every two weeks starting from March 13), E4-201, Yungu Campus, Westlake University.

Organizer: Lifan Guan (Westlake) and Feng Wang (ZJU)

Contact: guanlifan@westlake.edu.cn, wfmath@zju.edu.cn

Tentative Plan：

In this semester, we continue to learn some basic derived algebraic geometry. This time, we will focus on higher category theory, which plays a central role in the more systematical approach (a la Lurie) to derived algebraic geometry. To begin, we will start by learning basic notations of infinity categories via the model of quasi-categories, following Lurie. Then we will move on to the basic theory of presentable infinity-categories, and infinity-topoi. If time permits, we will also discuss some stable infinity-categories. The main reference is Lurie’s HTT and HA [4, 5], as well as Cisinski [1] and Land [3].

More details can be found here.

Reference：

[1] D. Cisinski, Higher categories and homotopical algebra, Cambridge Studies in Advanced Mathematics, 180.

[2] M. Groth, A short course on 1-categories, avaiable online.

[3] M. Land, Introduction to infinity-categories, Compact Textbooks in Mathematics.

[4] J. Lurie, Higher topos theory, avaiable online.

[5] J. Lurie, Higher algebra, avaiable online.

[6] J. Lurie, Categorical logic, lecture notes avaiable online

Tentative Schedule (Rough plan)