Department of Mathematics, University of Texas at Arlington
Department of Mathematics, University of North Texas
Department of Mathematics, Texas Christian University

Date/Time/Room: Friday (11/2/2001) at 2:30 pm in 487 Pickard Hall
                                  (Refreshments served at 2:10 pm ??)

Speaker: Kim Retert, Department of Mathematics, Texas A & M

``Noncommutative Curves''

Abstract: Noncommutative projective geometry studies noncommutative graded rings by replacing the variety by a suitable Grothendieck category. One way of studying the resulting category is to examine the full subcategories which behave like curves on a commutative variety. Smith and Zhang initiated such a study by considering the subcategory generated by a particular type of module they called a ``pure curve module in good position.'' In order to extend the applicability of this approach, the definition of pure curve modules in good position is generalized to modules called ``multistrand'' modules. The categories created from multistrand modules are described and shown (in general) to be different from the type of category created from a pure curve module in good position.