A Limited History of Complex Analysis
Date:
Butler University Mathematics Colloquia Series
Abstract: Complex dynamics is the study of mathematical or physical systems that evolve over time. Due to modern technological advancements, the field of study has undergone a renaissance and major connections with mathematical physics, biology, or interest theory have been developed. In this talk, I will give an overview of discrete complex dynamics and its application to fractal geometry. I will summarize major results from Fatou, Julia, and Mandelbrot, and end with some modern results and my current work in the field. A special effort has gone into making this talk accessible to any LAS student comfortable with Calculus I or II .