**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