Algebraic & Arithmetic Dynamics Seminar

Chatchai Noytaptim, Department of Pure Mathematics, University of Waterloo

"Potential function, transfinite diameter, and Fekete-Szego theorem"

We introduce the potential function attached to a probability measure and the transfinite diameter of any compact set in the Berkovich projective line. Time permitting, we briefly discuss a Berkovich version of the adelic Fekete-Szego theorem. The materials in this presentation cover sections 6.3-6.5 in Baker-Rumely’s monograph on “Potential Theory and Dynamics on the Berkovich Projective Line”.

MC 5417