We study global structure of moduli spaces.
General-typeness of moduli spaces
moduli spaces
Specialist skills | Intercultural skills | ✔ Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Standard lecture course
Course schedule | Required learning | |
---|---|---|
Class 1 | Abel-Jacobi map | Details will be provided during each class session |
Class 2 | Clifford theorem | Details will be provided during each class session |
Class 3 | Torelli theorem | Details will be provided during each class session |
Class 4 | Siegel modular variety | Details will be provided during each class session |
Class 5 | toroidal compactification | Details will be provided during each class session |
Class 6 | Tai-Freitag-Mumford theorem | Details will be provided during each class session |
Class 7 | moduli of stable curves | Details will be provided during each class session |
Class 8 | Harris-Mumford theorem | Details will be provided during each class session |
None required
E.Arbarello, M.Cornalba, P.Griffiths, J.,Harris, `Geometry of Algebraic Curves I' Springer.
R.Narashimhan, `Compact Riemann surfaces'
J.Harris, I.Morrison, `Moduli of Curves' Springer
Depends on the report(100%). Details will be announced during the course.
None required
Do not hesitate to ask any question