Examination procedure
<p>written and oral exam. some exercise sessions</p>
Prerequisites
Prerequisites al consist mainly of the material covered in first-year courses and in the first part of this course. It is possible that some results proved in second-year courses may be used
Syllabus
Dirichlet problem
Classification of complex tori
Liouville's theorem for conformal maps
Hopf's theorem for surfaces with constant mean curvature
Bibliographical references
Useful references will be classical books on Complex Analysis, such as those by Ahlfors and Gamelin, and some concerning minimal surfaces, such as those by Osserman and Fomenko-Tuzhilin. For surface geometry, classic texts are Do Carmo's and some of Spivak's volumes.