SFU Number Theory and Algebraic Geometry Seminar: JM Landsberg

A classical problem in linear algebra is to understand what are the linear subspaces of the space of $m\times n$ matrices such that no matrix in the space has full rank. This problem has connections to theoretical computer science, more precisely complexity theory, and algebraic geometry. I will give a history, explain the connection to algebraic geometry (sheaves on projective space satisfying very special properties), and recent progress on the classification question. This is joint work with Hang Huang.