Title: Moment angle manifolds and linearity over Stanley-Reisner rings
Abstract: This is a talk about some of the extremely close connections between the combinatorics of simplicial complexes, the homological algebra of monomial rings, and the topology of toric spaces. I'll start by explaining how these three areas thread together through the Stanley-Reisner ring and the moment angle space associated to a simplicial complex, and I'll survey some of the interactions between these objects, especially what can be said when the Stanley-Reisner ideal has a linear resolution. Finally I'll talk about some generalisations that are joint work with Steve Amelotte.
