Dynamical Systems     MATH 374

Special Department Seminar by Robert L. Devaney (HC '69)

Boston University

The Fractal Geometry of the Madelbrot Set

Thursday, December 1, 4:00 - 5:00 pm, Swords 359

In this lecture we describe several folk theorems concerning the Mandelbrot set. While this set is extremely complicated from a geometric point of view, we will show that, as long as you know how to add and how to count, you can understand this geometry completely. We will encounter many famous mathematical objects in the Mandelbrot set, like the Farey tree and the Fibonacci sequence. And we will find many soon-to-be-famous objects as well, like the "Devaney" sequence. There might even be a joke or two in the talk.