Joint Colloquium: Krieger -- Mahler Lecture: Transcendence and dynamics

Many interesting objects in the study of the dynamics of complex algebraic varieties are
known or conjectured to be transcendental, such as the uniformizing map describing the
(complement of a) Julia set, or the Feigenbaum constant.  We will discuss various
connections between transcendence theory and complex dynamics, focusing on recent
developments using transcendence theory to describe the intersection of orbits in
algebraic varieties, and the realization of transcendental numbers as measures of
dynamical complexity for certain families of maps.