Extra QLunch: Jeroen Zuiddam

Speaker: Jeroen Zuiddam, University of Amsterdam

Title: The subrank of random tensors

Abstract: The subrank of a tensor measures how much the tensor can be diagonalised. This notion was introduced by Strassen in 1987 to study matrix multiplication algorithms, and is related to several problems in combinatorics and quantum information. We determine the subrank of random tensors, establishing a large gap between the subrank on the one hand and the slice rank, analytic rank and geometric rank on the other hand. This is joint work with Derksen and Makam.