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Introduced by George Andrews, Evan Pugh Professor of Mathematics at Penn State, Member NAS, Past President, AMS.

Ulam Colloquium

Title The Gractal Geometry of the Mandelbrot Set

Presented by Robert Devaney Boston University

ABSTRACT

In this lecture we describe several fold 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.

Refreshments follow in LIT 339