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No-three-in-a-line problems

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Let S be a set in some vector space. What’s the largest subset of S with no three collinear points? This simple question (for various choices of S) has led to some interesting mathematics touching on a diverse range of subjects from combinatorial number theory to algebraic geometry. I will discuss some of these topics from an elementary viewpoint.

This talk is part of the The Archimedeans (CU Mathematical Society) series.

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