Xander Faber (CICMA)
The Arithmetic of Orbits for Quadratic Dynamical Systems
For any rational number c, consider the polynomial morphism
defined by x -> x^2 + c. We will discuss some of the results and outstanding
conjectures regarding the behavior of rational points in orbits for maps of
this form. The talk will begin with a discussion of general algebraic and
arithmetic dynamics and then proceed to this special case.