The set of k by n matrices with rank at most r naturally forms an algebraic variety. Its defining equations are given by determinants and it enjoys many beautiful properties. In this talk I'll discuss some recent work that describes how this variety behaves upon specialization with some applications to matroids and free resolutions.
Ideals of maximal minors and their resolutions
Adam Boocher (Edinburgh)
Mon, 08/12/2014 - 16:30