The September 15, 2014 O.M.N.I. Talk: Lance Miller presents

Rational points, Elliptic curves, and open problems

Abstract: In this talk we will define elliptic curves and review major results and open questions concerning their rational points. Questions concerning these points has been one of the most significant driving forces in modern number theory. Time permitting, we should at least define and discuss open questions in value of at least $2 million and results adding up to two Fields' medals and numerous other prizes in mathematics.