Title: The endless possibilities of Julia sets
Speaker: Kathryn Lindsey
Speaker Info: Cornell University
Brief Description:
Special Note:
Abstract:
Want to find a polynomial whose Julia set looks like a cat? or your silhouette? or the Lunt building? I'll tell you how to do it. I proved that any Jordan curve in the plane can be approximated arbitrarily well in the Hausdorff topology by Julia sets of polynomials. Some types of more complicated shapes can be approximated by the basins of attraction of rational maps. I will discuss these results and show pictures of neat Julia sets.Date: Tuesday, April 8, 2014