Speaker: Jeremy Martin, University of Kansas

Title: A non-partitionable Cohen-Macaulay simplicial complex

Abstract: A long-standing conjecture of Stanley states that every Cohen-Macaulay simplicial complex is partitionable. We disprove the conjecture by constructing an explicit counterexample. Due to a result of Herzog, Jahan and Yassemi, our construction also disproves the conjecture that the Stanley depth of a monomial ideal is always at least its depth. This is joint work with Art Duval, Bennet Goeckner and Caroline Klivans.