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Rational Right Triangles
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The Congruent Number Problem:
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The Congruent Number Problem:
Contents
Rational Right Triangles
Congruent Numbers and Elliptic Curves
Congruent Numbers and Elliptic Curves: II
Elliptic Curve Groups
Elliptic Curves over
Elliptic Curves Modulo
The Birch and Swinnerton-Dyer Conjecture (Monday)
Square Triangles and Fermat's Last Theorem (Wed morning)
An Elementary Criterion (Thursday)
Square Triangles Revisited
An Elliptic Curve Cryptography (ECC) Tutorial
Elliptic Curves Modulo
Computing
Diffie-Hellman - a way to create a shared secret
A serious cryptosystem that was deployed: MS-DRM
Goals:
Learn about a major open problem in number theory.
Learn to use
SAGE to draw plots and do computations.
Learn about elliptic curves: groups, public-key cryptography, the BSD conjecture.
William Stein 2006-07-07