Complex Analysis in Several Variables

Education facts

Code: MMA150

In this course you will study functions of several complex variables that are complex differentiable in a suitable sense. Similar to the situation of one complex variable, complex differentiability is a much stronger notion than real differentiability. This makes it possible to develop tools and obtain results that would not extend to the real setting. Complex analysis in several variables is a field that has seen great development during the last century and there are connections to several parts of modern mathematics, like analysis, algebra, geometry, and topology. In the course you will study various central concepts and methods within the field. Although much of the basic theory of several complex variables can easily be derived from the one-dimensional setting, there are phenomena, like the famous Hartog's phenomena about extensions of complex differentiable functions, that occur only in higher dimensions. During the course you will learn about this and other examples that illustrate that the theory of complex variables in many ways essentially differs from the theory of one complex variable.

Entry requirements

General entry requirements and the equivalent of 90 credits in mathematics, including the equivalent of the course MMG700 Analytic Function Theory.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Complex Analysis in Several Variables

  University of Gothenburg

  GÖTEBORG

  Start date: 23 March 2028

  End date: 4 June 2028

  Pace of study: 50 %