Geometry Seminar

Date: September 1, 2017

Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: E. Ventura, TAMU

Title: Catalecticants, antipolars, and ranks of forms

Abstract: The complex (or real) rank of a homogeneous polynomial is the smallest number of powers of complex (or real) linear forms such that the polynomial may be expressed as a linear combination of those. Such an expression is called a minimal Waring or symmetric decomposition. We will talk about real and complex ranks in the setting of bihomogeneous polynomials by the means of maps associated to them: catalecticants and antipolars. We will also explain how the latter ones are related to loci encoding information about minimal decompositions of these bihomogeneous polynomials.