Specialised Course on Analytic Functions
Holomorphic functions of several variables, with a focus on differences and similarities with the single variable theory. Analytic continuation and Hartogs’ extension theorem. Zero sets and singularities. Domains of holomorphy: Cousin problems and the Levi problem. Pseudoconvex domains. Pluripotential theory. Differential forms and integral representation formulas for holomorphic functions. Introduction to d-bar equations.