The congruent number problem

28 May 2012
16:00
Frank Gounelas
Abstract
<p>Which positive integers are the area of a right angled triangle with rational sides? In this talk I will discuss this classical problem, its reformulation in terms of rational points on elliptic curves and Tunnell's theorem which gives a complete solution to this problem assuming the Birch and Swinnerton-Dyer conjecture.</p>
  • Junior Number Theory Seminar