Theory of algebraic groups
Tuesday 2,3,4 (9:10-12:10) @ Astro-Math Building 201
Office Hour: Tuesday 13:00-14:30 @ Astro-Math Building 427
Notice
- Lecture will not be given on 2025-09-09.
- Lecture will not be given on 2025-12-16 (This course has no exam).
- The evaluation will be based only on reports. Deadline is 2025-12-19 (24:00).
Week 1 (2025-09-02)
Course overview & Review of some very basic algebraic geometry
Week 2 (2025-09-16)
Very basic properties of general algebraic groups
Week 3 (2025-09-23)
Jordan decomposition
Week 4 (2025-09-30)
Unipotent, solvable, and nilpotent groups
Week 5 (2025-10-07)
Diagonalizable groups
Week 6 (2025-10-14)
Lie algebras of algebraic groups
Week 7 (2025-10-21)
Reductive groups and root data
Week 8 (2025-10-28)
I'm very sorry to cancel the class due to some sick (I've caught a cold...).
Week 8 (2025-11-04)
Quotients of algebraic groups
Week 9 (2025-11-11)
Week 10 (2025-11-18)
Week 11 (2025-11-25)
Week 12 (2025-12-02)
Week 13 (2025-12-09)
Week 14 ? (2025-12-16 ?)
Course note is here.
Please feel free to contact me!
Office: Astro-Math Building 427
Mail: masaooi at ntu.edu.tw