Prossimi Seminari
Prossimi Seminari
Titolo: Tensors, secant varieties and flattenings
Abstract: Tensors – multilinear maps on several vector spaces – offer a rich topic of study in the overlap of linear algebra, algebraic geometry and complexity theory. Various notions of rank measure the complexity of a tensor, attempting to generalize the rank of a matrix. In this talk, I will discuss how these may be lower-bounded by so-called flattening methods, which assign matrices to tensors in a controlled way. If time permits, I will also highlight applications to the geometry of Hilbert schemes.