​ZJU-Westlake Derived Algebraic Geometry Learning seminar (Fall 2022)

2022-10-17 10:18:28

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, Westlake University.


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 found here.

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