Algebraic & Arithmetic Dynamics Seminar

Xiao Zhong, Department of Pure Mathematics, University of Waterloo

"Harmonic Functions on the Berkovich Projective Line"

We introduce the harmonic functions and explore their properties. As a byproduct, we prove the uniqueness of the equilibrium distribution. The materials in this presentation cover the first half of the chapter 7 in Baker-Rumely's monograph on "Potential Theory and Dynamics on the Berkovich Projective Line".