Spring 2005 V3952
UNDERGRADUATE SEMINARS II Group A
Time: Tuesday 5:30~7:00
References
- [AEC] Silverman, the Arithmetic of Elliptic curves,
GTM106 Chapter III, VI
- [RPE] Silverman and Tate, Rational points on Elliptic curves, UTM Chapter
VI
- [NA] Frab and Dennis, Noncommutative Algebra, GTM144, Chapter 3,4
- [AAF] Lang, Introduction to Algebraic and Abelian Functions Chapter VI,
VIII
Topics:
- Complex multiplication and abelian extension of imaginary quadratic
fields
- Finite dimensional central algebra over a field: application of
Neother-Skolem Theorem and Brauer groups.
- Fundamental groups on compact complex manifold as Deck transformations.
Schedule
| Day |
Topic |
| 1/25 |
Overview
of topics |
| 2/1 |
1 |
| 2/8 |
1 |
| 2/15 |
2 |
| 2/22 |
2 |
| 3/1 |
2 |
| 3/8 |
1 |
| 3/15 |
Spring
break |
| 3/22 |
1 |
| 3/29 |
2 |
| 4/5 |
2 |
| 4/12 |
2 |
| 4/17 |
3 |
| 4/24 |
3 |