Algebra and Combinatorics Seminar

Date: December 7, 2018

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Yang Qi, University of Chicago

Title: On the rank preserving property of a linear section and its applications in tensors

Abstract: This talk is motivated by several conjectures on tensor ranks arising from signal processing and complexity theory. In the talk, we will first translate these conjectures into the geometric language, and reduce the problems to the study of a particular property of a linear section of an irreducible nondegenerate projective variety, namely the rank preserving property. Then we will introduce several useful tools and show some results obtained via these tools. This talk is based on a joint work with Lek-Heng Lim.