Title: P-partitions Revisited

Abstract: We will be discussing the paper P-partitions Revisited, which attempts, for a given poset P, to connect algebraic invariants of the ring of P-partitions to the structure of P itself, i.e., gives a partial answer to the question: What poset properties survive the process of "algebrizing", and in what form?  We will introduce the relevant objects (Linear extensions, P-partition rings, Hilbert Series), and give sketches of their constructions and the relationships between them.