Graduate Computational Algebraic Geometry Seminar
Shmuel Friedland
UIC
On 4 x 4 x 4 tensors of border rank $4$ at most
Abstract: We first discuss briefly the notion of algebraic statistics, phylogenic trees
and their invariants. Then we consider the model in which one parent gives rise to new 3 species.
This model is characterized as the
variety $\mathcal R(4,\mathbb C^{4\times4\times4})$ of tensors in $\mathbb C^{4\times4\times4}$
of border rank $4$ at most.
In this talk we characterize this variety, and show that it is cut out by
certain homogeneous polynomials of
degrees $5,9,16$.
Thursday October 21, 2010 at 10:00 AM in SEO 1227