Number Theory Seminar
Tuesday 30 January 2007, MR13, 2:30pm
Uniform bounds on the cardinality of preperiodic points of certain polynomials
Ambrus Pal
(Imperial)
Abstract:
We say that a point z on the affine line over the field F is a
preperiodic point for a onevariable polynomial P with coefficients in
F if the set of the images of z under all iterates of P is finite. I
will talk about how to prove that there is a uniform bound on the
cardinality of preperiodic points of polynomials of the form
Tx+Gx^q+Dx^(q^2) over the rational function field of one variable T
over the finite field of q elements.



