|Date: Tuesday, April 18, 2006
Title: Algebraic Points on Elliptic Curves
Abstract: The question of constructing rational and algebraic points on elliptic curves lies at the heart of the Birch and Swinnerton-Dyer conjecture, one of the Clay Institute Millenium Prize problems. While algebraic points can behave erratically, they also appear to exhibit a surprising degree of order and regularity, reflecting deep patterns that are, at present, only incompletely understood. I will present a partial survey of what is known and what is conjectured about the behaviour of algebraic points on elliptic curves.
Speaker: Henri Darmon
Institution: McGill University