Speaker: Vijay Sookdeo, Catholic University
Integral point in orbits of morphisms on curves
Abstract: Let f be a morphism on a curve C, both defined over a number field K. The forward orbit of a point P on C under f is the collection of all images P, f(P), f(f(P)), etc.; the backward orbit P under f is the collection of all pre-images of P. A theorem of J. Silverman gives a condition for when the forward orbit of P contains at most finitely many points with integral coordinates. We will introduce a conjecture for when the backward orbit of P contains at most finitely many integral points, and discuss results towards this conjecture.Time: Friday, February 6, 2015, 3:30-4:20 p.m.
Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
Tel. 703-993-1460, Fax. 703-993-1491