Colloquiums and Public Lectures 2014

Title: The structure of the Mandelbrot set
Speaker:Professor John H. Hubbard 
Date:3 April 2014
Time:3.30pm – 4.30pm 
Venue:SPMS –LT4,  School of Physical and Mathematical Sciences
Abstract: Understanding the parameter space for dynamical systems has been a dream of mathematicians since Newton. He asked: what 
initial positions of the planets lead to a stable solar system? Many other mathematicians (and physicists) since have asked such 
questions: Euler, Laplace, Lagrange, Gauss, Cauchy, Riemann, Liapunov, Poincaré, Birkhoff, Kolmogorov, and many others in more 
recent times. 

Almost the only case where we have an (almost) complete answer is for quadratic polynomials viewed as dynamical systems. I 
will explain the terms, and demonstrate that even in that setting the description cannot be really simple. 

But I will explain what our description is.