|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
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.