Restriction-closed tensor properties

A theorem by Kazhdan and Ziegler says that any property of homogeneous polynomials---of a fixed degree but in an arbitrary number of variables---that is preserved under linear maps is either satisfied by all polynomials or else implies a uniform bound on their Schmidt rank.

 

I will discuss several variations on this theme.

Date

Affiliation

Eindhoven University of Technology; Member, School of Mathematics