Rank Problems for Subspaces of Symmetric or Hermitian Matrices Over Finite Fields
Speaker: Rod Gow (UCD)
Date: Mon 18th October 2010
Location: Mathematical Sciences Seminar Room
Using a counting method, we obtain bounds for the dimensions of subspaces of symmetric or hermitian matrices that satisfy certain restrictions on the ranks of their elements. In some cases, the bounds are optimal. We assume in most of the work that we are working over a finite field.
(This talk is part of the Algebra/Claude Shannon Institute series.)