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Mathematics Colloquium


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


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