Seminar:

Fall 2021, Thursdays, Blocker 506A, 4:00-4:50 PM (in-person, with Zoom option- see email for link).


Date: September 16

"  Tensors of Minimal Border Rank "
  Arpan Pal  

Abstract

We know 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 the classical question, and recent progress towards classifying minimal border rank tensors. This is joint work with JM Landsberg and Joachim Jelisiejew.