In this course I try to give a self-contained introduction in this field. I want to give an idea what the subject is about, introduce and explain in simple examples the new concepts and mathematical ideas which where developed in that context. Depending on interest, I could also explain in the end some of the relations to string theory and conformal field theory. There will be no regular textbook. Basics in quantum mechanics and the theory of differential equations are recommended.
Examination is by take-home problems.
The course gives 4 points.