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Multivariable Complex Analysis
Dates and times
Tuesday, 16:15-17:45, HS 3, Building E 2 5
Wednesday, 14:15-15:45, SR 5, Building E 2 4
You may submit the solutions for the assignments in teams of up to three people.
This course is an introduction to complex analysis in several variables. While many of the basic results about holomorphic functions of one variable carry over to several variables, a number of new phenomena arise. For instance, holomorphic functions of several variables cannot have isolated zeros or isolated singularities.
- basic properties of holomorphic functions of several variables
- Hartogs' theorem about seperately holomorphic functions
- analytic sets
- domains of holomorphy
Basic complex analysis in one variable (e.g. Funktionentheorie 1).
There will be an oral exam at the end of the semester. In order to be eligible for the exam, you have to achieve at least 50% of the available points on the assignments.