Lecture: Friday, September 26, 2014 – Gerd Faltings

Gerd Faltings: Diophantine Equations

Diophantine equations are a classical subject. Progress in modern times has been possible because of modern algebraic geometry. I review what is known for curves and the techniques of proof involved. In addition I explain open problems like the “abc-conjecture”, a seemingly simple problem for which new attempts have been made recently.