Introduction to Complex Dynamics in one variable

Speaker:  Mayuresh Londhe

Date: 24th October 2017 (Tuesday)

Time: 09:15 pm – 10:15 pm

Venue: Lecture Hall I, Department of Mathematics

Abstract:

This talk is going to be very introductory. To begin with, I will give a motivation, by using a few examples. We will then see definitions of Fatou and Julia sets with a few historical notes. Towards the end, I will prove some theorems and state a few without proof.
Prerequisites: First course in one variable complex analysis and basics of covering spaces.

Area: Complex Dynamics

References:

1. Dynamics in one complex variable (Geometric viewpoint) – John Milnor
2. Complex Dynamics (Analytic viewpoint) – L. Carleson and T. Gamelin
3. Iteration of rational functions (for examples) – Alan Beardon
4. One hundred years of complex dynamics (Survey article) – Mary Rees

 

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