Algebraic & Arithmetic Dynamics Seminar

Chatchai Noytaptim, Department of Pure Mathematics, University of Waterloo

"Adelic equidistribution theorem for points of small height"

Bilu’s celebrated equidistribution theorem asserts that if there is an infinite sequence of distinct algebraic numbers with low  arithmetic complexity, then its Galois orbit is equidistributed with respect to the uniform probability measure on the complex unit circle. We present the proof of an adelic version of Bilu-type equidistribution theorem in dynamical setting. The material in this presentation covers section 7.9 in Baker-Rumely’s monograph on “Potential Theory and Dynamics on the Berkovich Projective Line”.

MC 5417