Diophantine Equations, Old and New

Abstract: In this talk, I will attempt to survey some recent developments in the field of Diophantine equations, with particular emphasis on a number of classical problems that have been resolved in the past few years, such as Catalan's Conjecture. Of particular interest are new techniques, such as those arising from the modularity of Galois representations. I will conclude with a list of what I hope are challenging open problems in this area.

Refreshments will be served at 2:45 p.m. (MATX 1115, Faculty Lounge).