| Time\Date | Aug 15 Mon |
Aug 16 Tue |
Aug 17 Wed |
Aug 18 Thu |
Aug 19 Fri |
Aug 22 Mon |
Aug 23 Tue |
Aug 24 Wed |
Aug 25 Thu |
Aug 26 Fri |
|---|---|---|---|---|---|---|---|---|---|---|
| 08:30-09:30 | Ang Li | Yutao Liu | Guchuan Li | Zhipeng Duan | Hana Jia Kong | Weinan Lin | Yutao Liu | Ningchuan Zhang | ||
| 09:45-10:45 | Sihao Ma | Sihao Ma | Zhipeng Duan | Foling Zou | ||||||
| 10:00-11:00 | Ang Li | Guchuan Li | Yunze Lu | Weinan Lin | Ningchuan Zhang | Hana Jia Kong | ||||
| 11:00-12:00 | Heyi Zhu | Heyi Zhu | Yunze Lu | Foling Zou |
*All time in this webpage refers to Beijing Time (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 Zhipeng Duan
MU as a universal example (viewed as moduli stack, see Lecture 6), calculations of MU*MU and E*MU
11:00-12:00 Yunze Lu
Adjoint functors, presentability, tensor product
08:30-09:30 Guchuan Li
Quillen's theorem on π*MU
10:00-11:00 Guchuan Li
Understand formal groups (over fields)
08:30-09:30 Zhipeng Duan
"Higher algebra" (ring spectra and modules, see Lecture 18), application: construct K(n), introduce E-theory
10:00-11:00 Yunze Lu
Smash products (see Lecture 5), stability, stabilization
08:30-09:30 Hana Jia Kong
Derived categories, Verdier sequences, t-structures
10:00-11:00 Weinan Lin
Thick subcategories, define type n, Balmer spectrum of finite spectra, state thick subcategory theorem
08:30-09:30 Weinan Lin
State nilpotence theorem, deduce thick subcategory theorem
09:45-10:45 Foling Zou
Monoidal and symmetric monoidal structures
11:00-12:00 Foling Zou
Rings (associative and commutative) and modules
08:30-09:30 Yutao Liu
Construction of $v_n$-self maps
10:00-11:00 Ningchuan Zhang
Bousfield localizations
08:30-09:30 Ningchuan Zhang
Monochromatic layers, chromatic convergence theorem
10:00-11:00 Hana Jia Kong
The Barr-Beck-Lurie theorem