Slices of parameter space of cubic polynomials

When

April 12, 2019 | 2:30 - 3:30 p.m.

Where

Campbell Hall 443

Speaker

Dr. Alexander Blokh (joint with Lex Oversteegen and Vladlen Timorin, Moscow)

Abstract

In this paper, we study slices of the parameter space of cubic polynomials, up to affine conjugacy, given by a fixed value of the multiplier at a non-repelling fixed point. In particular, we study the location of the \emph{main cubioid} in this parameter space. The \emph{main cubioid} is the set of affine conjugacy classes of complex cubic polynomials that have certain dynamical properties generalizing those of polynomials $z^2+c$ for $c$ in the filled main cardioid.