Subspace varieties and signal processing, after DeLauthauwer
Ming Yang, Texas A&M

This poster explores the defectivity of secant varieties and joins of subspace varieties. We compute the defect of many 2-secant varieties of subspace varieties and completely determine the defectivity and weakly-defectivity of $\sigma_{R}(Sub_{1,L,L}\mathbb{C}^{I}\otimes \mathbb{C}^{J}\otimes \mathbb{C}^{K})$. We also study joins of subspace varieties, when the multilineal rank is very low. These determine uniqueness or partial uniqueness up to finite ways of presentations.