Afshin Goodarzi: The Herzog-Takayama resolution is cellular

Given a monomial ideal I in a polynomial ring, a free resolution of I is said to be cellular if it can be derived from the chain complex of a cell complex whose vertices are labelled by the generators of I.  The Herzog-Takayama resolution is the minimal free resolution for the so-called class of ideals with regular linear quotients.  This class contains all matroidal and stable ideals whose free resolutions are known to be cellular.  In this talk, we will present a brief introduction to the subject and show that the Herzog-Takayama resolution is cellular.