Combinatorial Algebraic Geometry

Date: February 22, 2019

Time: 11:00AM - 11:50PM

Location: Bloc 605AX

Speaker: Frank Sottile, Texas A&M University

Title: Numerical computation of multiprojective varieties

Abstract: A multiprojective variety is a subvariety of a product of projective spaces. They may be studied as projective varieties under the Segre embedding or locally as affine varieties in an affine patch. Both approaches have disadvantages, increasing complexity or ignoring structure. I will discuss methods from numerical algebraic geometry to study multiprojective varieties that take advantage of their structure and do not increase the complexity of the numerical representation. This is joint work with Hauenstein, Leykin, and Rodriguez.