Devaney will discuss several theorems concerning the Mandelbrot set.
Admission is free.
We will also show how the size and location of the bulbs in the Mandelbrot set is governed by Farey arithmetic. The Mandelbrot Set is a mathematical phenomenon displayed through the use of a complex plane where each point corresponds to a complex number. Devaney has been a professor of mathematics at Boston University since 1980. He served as chair of the department from 1983 to 1986 and is a member of the dynamical systems group. As director of the National Science Foundation's Dynamical Systems and Technology Project, he shows teachers how ideas from modern mathematics, such as chaos, fractals and dynamics, combined with modern technology can be used effectively in the high school curriculum.