COSAM » Events » 2016 » April » Colloquium: Nathan Ilten

Colloquium: Nathan Ilten
Time: Apr 15, 2016 (04:00 PM)
Location: Parker Hall 250


Speaker: Nathan Ilten, Simon Fraser University, Burnaby, British Columbia, Canada


Title: Linear subspaces of special varieties

In 2013, Derksen showed that the 3x3 determinant polynomial can be written as a sum of five products of linear forms. This begs the question: Can one get by with fewer than five summands? Zach Teitler and I have shown that five summands are in fact necessary. Our argument relies on an analysis of the linear subspaces contained in a special hypersurface. Motivated by this application, I will discuss recent work concerning linear subspaces contained in the vanishing loci of certain special sets of polynomials, such as determinantal varieties and toric varieties.

Faculty host: Luke Oeding

Last updated: 03/30/2016