Irreducibility of periodic curves of cubic polynomials


View Calendar
March 5, 2021 10:00 am - 12:00 pm
via Zoom Video Conferencing

Jan Kiwi - Pontificia Universidad Catolica de Chile

In the moduli space of one variable complex cubic polynomials with a marked critical point, given any $p \ge 1$, we prove that the loci formed by polynomials with the marked critical point periodic of period $p$ is an irreducible curve.  Our methods rely on techniques used to study one-complex-dimensional parameter spaces.  This is joint work with Matthieu Arfeux.

Go to for Zoom information.