Irreducibility of periodic curves of cubic polynomials

ALGEBRAIC DYNAMICS

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

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 http://people.math.harvard.edu/~demarco/AlgebraicDynamics/ for Zoom information.