| 时间\日期 | 08-15 周一 |
08-16 周二 |
08-17 周三 |
08-18 周四 |
08-19 周五 |
08-22 周一 |
08-23 周二 |
08-24 周三 |
08-25 周四 |
08-26 周五 |
|---|---|---|---|---|---|---|---|---|---|---|
| 08:30-09:30 | Ang Li | Yutao Liu | 李谷川 | 段志鹏 | 孔嘉 | 林伟南 | Yutao Liu | 张凝川 | ||
| 09:45-10:45 | Sihao Ma | Sihao Ma | 段志鹏 | 邹佛灵 | ||||||
| 10:00-11:00 | Ang Li | 李谷川 | 卢运则 | 林伟南 | 张凝川 | 孔嘉 | ||||
| 11:00-12:00 | Heyi Zhu | Heyi Zhu | 卢运则 | 邹佛灵 |
*本页面所有时间均为北京时间（GMT+8）。
09:45-10:45 Sihao Ma
Cohomology theories, Brown representability, K-theory
11:00-12:00 Heyi Zhu
Simplicial sets, Kan complexes, categories, nerves, simplicial categories, infinity categories, homotopy categories, equivalences
09:45-10:45 Sihao Ma
Complex bordism, Thom construction
11:00-12:00 Heyi Zhu
Joins, slices, initial/final objects, limits/colimits, functor categories, uniqueness (up to contractible space of choices)
08:30-09:30 Ang Li
Spectra, smash product, ring spectra
10:00-11:00 Ang Li
Left/right fibrations, cartesian/cocartesian fibrations, set up the straightening functor (or at least state the theorem), stacks as an example (Hopf algebroids)
08:30-09:30 Yutao Liu
Complex orientations, formal groups, example of KU
09:45-10:45 段志鹏
MU as a universal example (viewed as moduli stack, see Lecture 6), calculations of MU*MU and E*MU
11:00-12:00 卢运则
Adjoint functors, presentability, tensor product
08:30-09:30 李谷川
Quillen's theorem on π*MU
10:00-11:00 李谷川
Understand formal groups (over fields)
08:30-09:30 段志鹏
"Higher algebra" (ring spectra and modules, see Lecture 18), application: construct K(n), introduce E-theory
10:00-11:00 卢运则
Smash products (see Lecture 5), stability, stabilization
08:30-09:30 孔嘉
Derived categories, Verdier sequences, t-structures
10:00-11:00 林伟南
Thick subcategories, define type n, Balmer spectrum of finite spectra, state thick subcategory theorem
08:30-09:30 林伟南
State nilpotence theorem, deduce thick subcategory theorem
09:45-10:45 邹佛灵
Monoidal and symmetric monoidal structures
11:00-12:00 邹佛灵
Rings (associative and commutative) and modules
08:30-09:30 Yutao Liu
Construction of $v_n$-self maps
10:00-11:00 张凝川
Bousfield localizations
08:30-09:30 张凝川
Monochromatic layers, chromatic convergence theorem
10:00-11:00 孔嘉
The Barr-Beck-Lurie theorem