Speaker: Serge Lang
Title: ABC conjecture
Abstract: The ABC conjecture is one of the major conjectures of the century, and has been proved equivalent to the Vojta conjecture estimating heights of points. Both imply statements such as the Mordell conjecture (Faltings' theorem) and Fermat's last theorem. I'll discuss new insights into the error term in the estimate of the conjecture, and its possible relations to the error term in other diophantine problems.