DMS Algebra Seminar

Speaker: Maya Banks (University of Wisconsin)

Title: Subcomplexes of Minimal Free Resolutions

Abstract: Given a minimal free resolution F, what are its subcomplexes? A naive computational approach to this question quickly becomes infeasible in even relatively small cases. In this talk, we'll use the Bernstein-Gel'fand-Gel'fand correspondence to address the cases where F is a minimal free resolution of a complete intersection or of a determinental ideal of maximal codimension. In particular, we'll see that for these cases we are able to give nontrivial numerical restrictions on the ranks of free modules appearing in subcomplexes of these resolutions.