Summer 2023:
Linear Algebraic Groups
Description: This is an online example-based seminar in summer 2023 for linear algebraic groups. The aim of this seminar is to understand representation and structure theory of affine linear $k$-groups. The main reference of this seminar is the first two parts of [MT11].
Schedule
| Date & Time | Speaker | Topics Covered |
|---|
| May 16th, 6-8pm | Xinyu Zhou | Chapters 1-3 of [MT11] supplemented by [Con20]: Definition, examples, and Jordan decomposition. |
| May 23rd, 6-7pm | Si-Yang Liu | Chapters 4-6 of [MT11]: Solvable and Borel subgroups. |
| June 1st, 9-10pm | Tianqing Zhu | Chapters 7-9 of [MT11]: Classification of Reductive and Semisimple Groups. |
| June 7th, 4-5pm | Zean Han | Chapters 11-13 of [MT11]: Parabolic subgroups. |
| Zhaoyang Liu | Chapters 14-16 of [MT11]: Representations of algebraic groups and its subgroups. |
| Xinyu Zhou | Chapters 17-19 of [MT11]: Maximal subgroups. |
References
- [MT11] Malle, G., & Testerman, D. (2011). Linear Algebraic Groups and Finite Groups of Lie Type. Cambridge University Press. doi: 10.1017/CBO9780511994777
- [Con20] Conrad, B. (2010). Linear algebraic groups I.