Moduli Spaces and Arithmetic Dynamics

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Examines moduli problems associated to algebraic dynamical systems. It provides an overview, with enough details and pointers to the existing literature, to give the reader an entry into this exciting area of research. Coverage includes construction and properties of dynamical moduli spaces for self-maps of projective space, dynatomic modular curves for the space of quadratic polynomials, the theory of canonical heights associated to dynamical systems, special loci in dynamical moduli spaces, and field of moduli and fields of definition for dynamical systems.