MAT 656: Topics in Dynamical Systems

Spring 2003













Course Description:

This course is an introduction to the mathematical tools that are essential in the modern theory of holomorphic dynamical systems. The emphasis will be on techniques of geometric complex analysis and quasiconformal theory in dimension 1. Along the way we will discuss concrete applications of these techniques in the dynamical study of rational maps of the sphere and, when appropriate, Kleinian groups.

Here is an outline of possible topics: General prerequisite: A good knowledge of complex analysis (Math 543 would be sufficient) and curiosity to learn about a beautiful piece of modern mathematics. For the most part the course will not require any background in dynamical systems, but some knowledge of it will be helpful.

Lecturer: Saeed Zakeri
Office: Math Tower 4-114, Tel. 2-8276.
Office Hours: by appointment
Class meetings: Tuesdays and Thursdays 2:20-3:40 pm in Physics P-124.
Email: zakeri@math.sunysb.edu


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Saeed Zakeri