Modul

The module will be completed by an oral exam of about 30 min.

At the end of the module, participants are able to

• name and discuss basic concepts to study translation surfaces,
• describe and use in examples essential methods for the classification of translation surfaces,
• read recent research papers on translation surfaces and write a thesis in this field.

None

• Chararcterization of finite translation surfaces
• Riemann surfaces and algebraic curves
• Moduli space of Riemann surfaces
• Classification of translation surfaces
• Strata and the action of SL(2,R)
• Period coordinates

Basic knowledge in surface topology and complex analysis is strongly recommended. The module "Algebraic Geometry" is also recommended.

Total workload: 240 hours

Attendance: 90 hours

• lectures, problem classes, and examination 

Self-studies: 150 hours

• follow-up and deepening of the course content,
• work on problem sheets,
• literature study and internet research relating to the course content,
• preparation for the module examination