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Right triangles and elliptic curves

Math Institutes Modern Mathematics Workshop October 08, 2008 - October 09, 2008

October 08, 2008 (03:00PM PDT - 04:00PM PDT)
Speaker(s): Karl Rubin (University of California, Irvine)
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Abstract Which natural numbers occur as the area of a right triangle with three rational sides? This is a very old question and is still unsolved, although partial answers are known (for example, five is the smallest such natural number). In this talk we will discuss this problem and recent progress that has come about through its connections with other important open questions in number theory.
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