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Washington State University

Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar

Department of Mathematics and Statistics

Neill Hall 5W

October 24, Monday, 4:10 - 5:00 PM

Hirotachi Abo

Department of Mathematics

University of Idaho

Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar

Department of Mathematics and Statistics

Neill Hall 5W

October 24, Monday, 4:10 - 5:00 PM

Hirotachi Abo

Department of Mathematics

University of Idaho

Title: Eigenvectors of tensors

Abstract: The concept of a tensor eigenvector was introduced independently by L.-H. Lim and L. Qi in 2005. The set of eigenvectors of a tensor forms an algebraic variety (i.e., the common zero locus of polynomials) called the eigenvariety of the tensor. The purpose of this talk is to discuss algebraic and geometric properties of eigenvarieties of tensors.

Abstract: The concept of a tensor eigenvector was introduced independently by L.-H. Lim and L. Qi in 2005. The set of eigenvectors of a tensor forms an algebraic variety (i.e., the common zero locus of polynomials) called the eigenvariety of the tensor. The purpose of this talk is to discuss algebraic and geometric properties of eigenvarieties of tensors.