Geometry Seminar

Date: November 16, 2020

Time: 3:00PM - 4:00PM

Location: zoom

Speaker: H. Derksen, Northeastern U.

Title: The G-Stable Rank for Tensors

Abstract: A tensor of order d is a d-dimensional array. There are various generalizations of the rank of a matrix to tensors of order 3 or more. I will introduce one such generalization, the G-stable rank, and compare it to other rank notions such as the tensor rank and the slice rank. The G-stable rank is related to the notion of stability in Geometric Invariant Theory. As an application of the G-stable rank, we find better upper bound for the Cap Set Problem.