Mahler Lecture

4:00 pm

Monday, 25th Nov 2019

LSTH, Life Sciences Lecture Theatre

Dr Holly Krieger

(University of Cambridge)

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.