Title: The L2 Theory of the Cauchy-Riemann Operator on Domains in Cn
Abstract: The Cauchy-Riemann operator governs the behavior of holomorphic functions, and the solvability of the Cauchy-Riemann equations is fundamentally different in one and several complex variables. In this talk, I will give an overview of the Cauchy-Riemann equation, its applications, and the current status of the problem.