ChongGyu (Joey) Lee : Moriwaki's height : connection between arithmetic and complex dynamics

Posted by Alina Carmen Cojocaru , part of the Number Theory Seminar.

At

Oct. 10, 2011, 3 p.m.

In

SEO 636

Abstract

Since the Weil height functions work over number fields, arithmetic dynamics only works for endomorphisms defined over number fields. Because of the Moriwaki's height, we can build the Moriwaki's height machine, which gives arithmetic functions on a finitely generated field over Q. It allows to adapt the results in arithmetic dynamics to complex dynamics.