Learn some basic tools and methods in the theory of Riemann surfaces.
Students will learn some basic tools and results in the theory of Riemann surfaces including maps between Riemann surfaces, ramified coverings, the Riemann Roch theorem and the canonical model of a Riemann surface.
· Riemann surfaces: topology and de Rham cohomology. · Maps between Riemann surfaces, the Riemann-Hurwitz theorem. · Algebraic curves and their holomorphic 1-forms. · The Riemann Roch theorem, embeddings and projective models.