Graduate Number Theory Seminar
Holly Krieger
UIC
Uniform boundedness of S-units in the images of rational maps
Abstract: I will discuss joint work with A. Levin, Z. Scherr, and T. Tucker, proving some cases of a conjecture of A. Levin on the uniform boundedness of the number of S-units in images of rational maps defined over number fields, utilizing results of Evertse et al on linear unit equations. I will also discuss the conjecture as a consequence of the famous conjecture of Caporaso, Harris, and Mazur on the uniformity of the number of rational points on curves of fixed genus over a fixed number field.
Tuesday November 6, 2012 at 3:00 PM in SEO 512