Tutte Colloquium - Jim Geelen

Friday, November 4, 2022 3:30 pm - 3:30 pm EDT

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.