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 one-variable 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.



Last modified on 20/1/07.

Comments/corrections to Tim Dokchitser