I will talk about a new notion of rank for tensors called geometric rank, and discuss some of its basic properties, as well as its relationship with other well-studied notions of rank like subrank, slice rank and analytic rank. As an application, we will see a proof of tightness of an old bound of Strassen on the subrank of the matrix multiplication tensor.
Based on joint work with Guy Moshkovitz and Jeroen Zuiddam.
This video is part of the Webinar in Additive Combinatorics series, and this is their YouTube channel.
