Number Theory Seminar
ChongGyu (Joey) Lee
University of Illinois at Chicago
Moriwaki's height : connection between arithmetic and complex dynamics
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.
Monday October 10, 2011 at 3:00 PM in SEO 636