Number Theory Seminar

Diophantine problems arising from tetrahedra

Christopher Lyons, Department of Mathematics, California State University, Fullerton,

From the humble right triangle stem two rich, classical Diophantine problems: Pythagorean triples and the Congruent Number Problem. Both of these involve the study of rational points on algebraic curves. I'll discuss a higher-dimensional version of these problems leading to certain algebraic surfaces and their rational points. This is joint work with Dinakar Ramakrishnan.

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For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].