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