SEAMS School “Algebraic curves”
VIASM, July 8-19, 2013
LECTURES
1. Commutative algebra (Prof. Nguyen Tu Cuong)
2. Basic algebraic geometry (Dr. Doan Trung Cuong)
[1] Lectures Note
3. Vector bundles over algebraic curves (Prof. Ngo Bao Chau)
4. Flat connections (Prof. Phung Ho Hai)
4.1. System of linear differential equations on a Riemann surface
4.2. Differential forms, derivations, connections
4.3. Regular singularity, Riemann-Hilbert correspondence
The audience is assumed to be familiar with the topological fundamental group, covering spaces.
References for these topics:
[1] O. Forster, Lectures on Riemann surface
[2] An online lecture on the fundamental group
http://www.youtube.com/watch?v=J7–sI4A6D0
5. Modularity theorem (Dr. Le Hung Viet Bao)
6. Introduction to the trace formula (Prof. Erez Lapid)
SCHEDULE
Week 1 (8-12/7/2013)
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
|
9h-9h50 10h10-11h |
NTC1 |
NTC2 |
LHVB1 |
NTC3 |
NTC4 |
14h-14h50 15h10-16h |
DTC1 |
DTC2 |
LHVB2 |
DTC3 |
DTC4 |
Week 2 (15-19/7/2013)
|
|
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
9h-9h50 10h10-11h |
NBC1 |
NBC2 |
PHH2 |
NBC3 |
NBC4 |
14h-14h50 15h10-16h |
PHH1 |
LHVB3 |
Lapid |
PHH3 |
Lapid |