AGANT SEMINAR
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.