UC Berkeley Combinatorics seminar: Dustin Cartwright, The number of eigenvalues of a tensor

UC Berkeley combinatorics seminar (Nov 29): Dustin Cartwright, The number of eigenvalues of a tensor

Abstract

Eigenvectors of tensors are a generalization of eigenvectors of a matrix. I will show that a generic tensor of size n and order m has ((m-1)^n - 1)/(m-2) eigenvectors up to scaling. Since this quantity is the result of a toric intersection theory computation, this talk will serve as a gentle introduction to intersection theory on toric varieties.