EVENT DETAILS AND ABSTRACT

Title: Dynamical moduli spaces and the locus of critically finite maps
Speaker: Joe Silverman
Speaker Info: Brown University
Brief Description:
Special Note:
Abstract:

The moduli space M_d of rational maps f(z) of degree d modulo the conjugation action of PGL_2 plays an important role in the study of the dynamics of such maps. In this talk I will discuss known results and describe some open problems regarding these moduli spaces, including the construction of M_d and its completion via geometric invariant theory, the isomorphism M_2 = A^2 and the rationality of M_d for higher d, and the geometry and arithmetic of the special set of points in M_d corresponding to maps f(z) having finite critical orbits.