NUMBER THEORY SEMINAR
Monday, Sept 29, 4-5pm

Joe Silverman: 
A survey of (global) arithmetic dynamics

Arithmetic dynamics is the study of dynamical systems from a viewpoint
derived from the classical theory of Diophantine equations and
arithmetic geometry. I will explain this correspondence and describe
some of the main results and conjectures in the area, in particular
those related to rationality of periodic points and integrality of
wandering points. Additional topics, as time permits, will include
dynamical canonical heights, dynamical analogues of theorems of
Faltings and Raynaud, reduction modulo p, and dynamical analogues of
cyclotomic fields and cyclotomic units.

This will be an introductory survey, so more like a colloquium than a
seminar talk.