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Hà Huy Tài - Box-shaped matrices and their ideals of $2\times 2$ minors



HÀ HUY TÀI, Queens University
Box-shaped matrices and their ideals of $2\times 2$ minors


The theory on ideals of minors of a matrix has been well studied in many decades. In this talk, I will extend this notion to ideals of minors of ``higher dimensional'' matrices. The notion of a box-shaped matrix and its minors will be introduced. I will also discuss the geometric realization of these ideals. It turns out that they are the defining ideals for Segre embedding of product spaces.