Title: Several Complex Variables

Description: Definition and basic properties of holomorphic functions and mappings. Analytic sets: Basic definitions, Local theory of Weierstrass, Meromorphic functions. Hartogs Phenomenon. Domains of convergence of power series. Domains of holomorphy. Pseudoconvexity and the Levi Problem. Complex manifolds, holomorphic vector bundles and Hermitian metrics. Cousin problems. L2 estimates for the inhomogeneous Cauchy-Riemann Equations and applications.

Prerequisite: MAT 536

Credits: 3