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, 开云app官网下
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 foundhere.
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)
Topic |
Speaker |
Time and Location |
An overview |
Lifan Guan |
13:00-15:00, March 6, ZJU |
Simplicial model category, homotopy category and examples |
Xing Gu |
March 13, Westlake |
Anodyne maps and fibrations |
Yichang Cai |
March 20, ZJU |
Joining and slices, limits and colimits |
TBD |
March 27,Westlake |
Cartesian and cocartesian fibrations, straightenings and unstraightenings |
TBD |
April 3, ZJU |
Infinity categories of presheaves and localizations |
TBD |
April 10, Westlake |
Presentable infinity categories I |
TBD |
April 17, ZJU |
Presentable infinity categories II |
TBD |
April 24, Westlake |
Infinity topoi I |
TBD |
May 8, ZJU |
Infinity topoi II |
TBD |
May 15, Westlake |
Infinity topoi III |
TBD |
May 22, ZJU |
Stable infinity categories I |
TBD |
May 29, Westlake |
Stable infinity categories II |
TBD |
June 5, ZJU |
