ZJU-Westlake Derived Algebraic Geometry Learning seminar (Fall 2022)
Time and Location：
Friday 10:00-12:00 (every two weeks starting from Oct. 14),Room 820, No. 2 Haina Building, Zijingang Campus, Zhejiang University.
Friday 13:30-15:30 (every two weeks starting from Oct. 21),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：
The goal of this seminar is to learn some basics of derived algebraic geometry. We will concentrate on characteristic zero case and then main reference is [1]. Occasionally, other reference will also be touched.
More details can be foundhere.
Reference：
[1] J. Eugster and J.P. Pridham, An introduction to derived geometry, avaiable online.
[2] J. Lurie, Derived Algebraic Geometry V: Structured spaces, avaiable online.
[3] B. Toen, Derived algebraic geometry, EMS Surv. Math. Sci., 2014.
[4] B.Toen and G.Vezzosi, Homotopical algebraic geometry. I. Topos Theory, Adv. Math., 2005.
[5] B.Toen and G.Vezzosi, Homotopical algebraic geometry. II. Geometric stacks and applications, Mem. Amer. Math. Soc. 193 (2008).
Tentative Schedule (Rough plan)
Topic |
Speaker |
Time and Location |
An overview of derived algebraic geometry |
Lifan Guan |
October 14, ZJU |
Commutative Differential graded algebras(CDGA) |
Chuanhao Wei |
October 21, Westlake |
Model categories (I) |
Xing Gu |
October 28, ZJU |
Model categories (II) |
Xing Gu |
November 4, ZJU |
Model categories (III) |
Xing Gu |
November 11, ZJU |
Category of CDGAs |
Feng Wang |
November 18, Westlake |
Examples: Derived de Rham cohomology, shifted symplectic structures |
Lifan Guan |
November 25, ZJU |
Simplicial categories |
Xing Gu |
December 2, Westlake |
Geometric n-stacks (I) |
Lifan Guan |
December 9, ZJU |
Geometric n-stacks (II) |
Lifan Guan |
December 16, Westlake |
Derived geometric n-stacks (I) |
Lifan Guan |
December 23, ZJU |
Derived geometric n-stacks (II) |
Lifan Guan |
December 30, Westlake |
Derived geometric n-stacks (III) |
Lifan Guan |
January 6, ZJU |
