Title: Graded algebras and some associated geometry.

Abstract: Inspired by the work of Artin, Tate, and Van den Bergh, geometric methods via schemes of d-linear modules have been developed by various researchers in an attempt to further the classification of regular algebras of global dimension four, so-called quantum P^3's. In this talk, we introduce the terminology needed to discuss this attempted classification and present our findings regarding a certain family of algebras. We'll discuss terms such as "point modules" and "Pluecker Coordinates" and see how they can relate to geometric data associated to these algebras.