Mating habits of polynomials

Series: 
School of Mathematics Colloquium
Wednesday, June 6, 2018 - 3:30pm
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
U Michigan
Organizer: 
Given two complex polynomials, we can try to mathematically paste them together to obtain a rational function through a procedure known as mating the polynomials. In this talk, we will begin by trying to understand the "shape" of complex polynomials in general. We will then discuss the mating of two quadratic polynomials: we explore examples where the mating does exist, and examples where it does not. There will be lots of movies and exploration in this talk.