Examination procedure
Written and oral exams
Examination procedure notes
Written and oral exams, exercises during class
Prerequisites
Prerequisites al consist mainly of the material covered in first-year courses. It is possible that some results proved in second-year courses may be used
Syllabus
- Numeri complessi - Funzioni olomorfe e loro proprieta' principali - Superfici di Riemann, e tempo permettendo elementi di teoria di Teichmuller - Forme differenziali - Geometria delle superfici nello spazio Euclideo - Coordinate isoterme - Rappresentazione di Weierstrass - Teoremi di Bernstein e Hopf per superfici minime e a curvatura media costante
Bibliographical references
Useful references will be classic books on Complex Analysis, such as those by Ahlfors and Gamelin, and some on minimal surfaces, such as those by Osserman and Fomenko-Tuzhilin. For surface geometry, classic texts include Do Carmo's and some of Spivak's volumes.