Constant rank subspaces of matrices I

Speaker: Rod Gow (UCD)

Time: 4:00PM

Date: Mon 15th September 2008

Location: Mathematical Sciences Seminar Room

This will be a survey of questions relating to subspaces of nxn matrices all of whose non-zero elements have the same rank. We will describe known results boundingthe dimensions of such subspaces and give some constructions using field-theoretic techniques. We will also discuss the group of equivalences of certain of these subspaces.

(This talk is part of the Algebra/Claude Shannon Institute series.)