Friday, November 4, 2022 3:30 pm
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3:30 pm
EDT (GMT -04:00)
Title: Sylvester, Gallai, and their complex relatives
| Speaker: | Jim Geelen |
| Affiliation: | University of Waterloo |
| Location: | MC 5501 or contact Melissa Cambridge for Zoom link |
Abstract: Given any finite set of points in the real plane, not all collinear, there is a line in the plane that contains exactly two of them. This pretty result was conjectured by Sylvester in 1893 and proved by Gallai in 1944. We will present an extension of the result to higher dimensional complex spaces and discuss some related conjectures. This is joint work with Matthew Kroeker.