Design Matrices

Thursday, November 29, 2012 - 9:00am - 10:00am
Avi Wigderson (Institute for Advanced Study)
The Sylvester-Gallai theorem in Euclidean geometry asserts that if a set of points has the property that every line through two of them contains a third point (such lines are called special), then they must all be on the same line, namely, 1-dimensional. There are many proofs, all elementary. When one moves to the complex numbers the same condition can be met in two dimensions, and Kelly's theorem asserts that the points mus lie in a 2-dimensional space.
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