General information

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Instructor	Shane Kelly
Email	shanekelly [at] g.ecc [dot] u-tokyo [dot] ac.jp
Webpage	https://www.ms.u-tokyo.ac.jp/~kelly/Course2023-24DAG/2023-24DAG.html
Main References	[HTT] Lurie, "Higher Topos Theory" pdf [DAG] Lurie, "Derived algebraic geometry" pdf [Toën] Toën, "Derived algebraic geometry" pdf
Other References	[SAG] Lurie, "Spectral algebraic geomegry" pdf [HA] Lurie, "Higher Algebra" pdf
Room	Graduate School of Mathmatical Science Bldg. , Room 128.
Time	Thurs(木) 10:25-12:10
Assessment	Exercises will be given during the lectures. To pass the course, it is enough to submit solutions to at least one exercise from each of the first 10 lectures (so at least 10 exercises, but you are welcome to submit as many solutions as you want). Please submit the exercise solutions via email by 25th Jan. 日本語でもOKです。

Outline

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1. Introduction (10月5日)

2. Sheaves (10月12日)

3. Schemes (10月19日)

4. Quasi-coherent modules (10月26日)

5. Blowups (11月2日)

6. Homotopy types (11月9日)

7. Infinity categories (11月16日)

--- 11月23日 No lecture 講義がありません ---

8. Limits in infinity categories (11月30日)

9. Yoneda for infinity categories (12月7日)

--- 12月14日 No lecture 講義がありません ---

10. Derived schemes (12月21日)

--- 12月28日 No lecture 講義がありません ---

11. Quasi-coherent modules on derived schemes (1月4日)

12. Blowups of derived schemes (1月11日)

13. Q&A (1月18日)