Our speaker today is Alex Galarraga and he will be speaking on 'Cubic points on dynamical modular curves'.
Abstract: In a construction analogous to the classical modular curves, one can construct moduli spaces parametrizing dynamical systems with specified preperiodic structure. For the family of quadratic polynomials, these moduli spaces are known as the dynamical modular curves. We determine which dynamical modular curves have infinitely many cubic points. This is joint work with John R. Doyle.