Abstract: Determining the dimensions of the higher secant varieties of a given variety is a very hard problem to be solved in general. Of particular interest are Segre-Veronese varieties because of their connection to tensor decomposition problems. In this talk I will discuss an inductive approach, inspired by works of C. Ciliberto and R. Miranda, to compute the dimensions of all secant varieties of a class of Segre-Veronese varieties.

This is joint work with A. Laface (Concepción, Chile).