Geometry Seminar

Date: October 7, 2022

Time: 4:00PM - 5:00PM

Location: BLOC 302

Speaker: Arpan Pal, TAMU

Title: Concise tensors of minimal border rank

Abstract: We know that if a collection of square matrices are simultaneously diagonalizable then they commute, however the converse does not hold. It has been a classical problem in linear algebra to classify the closure of the space of simultaneously diagonalizable matrices. This problem is closely related to a problem regarding tensors. In this talk I shall describe the problem, the relation to classical question, and recent progress towards classifying minimal border rank tensors. This is joint work with JM Landsberg and Joachim Jelisiejew.