Bard College Mathematics, Computer Science, and Physics Talks


Dynamical Systems and Number Theory
John Cullinan
Bard College
Thursday, February 19, 2009
4:15 p.m.

RKC 111

Dynamical systems have been studied in the context of population modeling, fractal geometry, and topology for much of the 20th century, but it is only recently that they have been studied for their number-theoretic applications. In fact, many open questions in number theory can be rephrased in terms of dynamical systems. This talk will be an introduction to the arithmetic of polynomial dynamics and we will also discuss our recent work on the ramification of iterated rational functions.