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Right triangles and elliptic curves
October 08, 2008 (03:00 PM PDT - 04:00 PM PDT)
Karl Rubin (University of California, Irvine)
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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