Congruent numbers

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• John Coates (Cambridge)
• Tuesday 19 February 2013, 16:15-17:15
• MR14.

If you have a question about this talk, please contact Teruyoshi Yoshida.

The congruent number problem is the oldest unsolved major problem in number theory, and, in retrospect, the simplest and most down to earth example of the conjecture of Birch and Swinnerton-Dyer. After a brief description of the history of the problem, I shall discuss Y. Tian’s beautiful recent extension to composite numbers, with arbitrarily many prime factors, of Heegner’s original proof of the existence of infinitely many congruent numbers. I hope also to say a little at the end about possible generalizations of Tian’s work to other elliptic curves.

This talk is part of the Number Theory Seminar series.

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