Friday (09/10/2004) at 3:15pm in 487 Pickard Hall
Speaker: Kristen Beck,
Department of Mathematics,
University of Texas at Arlington
"The Category of Complexes, Part I"
In this talk, we will begin by defining the concept of a category. We
will then demonstrate that complexes of R-modules are the objects of an
R-linear category, denoted DGM(R), whose morphisms are the morphisms of
complexes. In particular, when considering only the complexes with
trivial differentials, along with their morphisms, we obtain a full
R-linear subcategory of DGM(R), which we denote GM(R). Moreover, we
will show that the category DGM(R) is equipped with a "shift"
automorphism and a forgetful functor, and that these two maps commute
with one another.