UTA Department of Mathematics

Algebra Seminar

Date/Time/Room: Friday (10/15/2004) at 4:00pm in 487 Pickard Hall

Speaker: Carson Clanton, Department of Mathematics, University of Texas at Arlington

"Fitting Ideals"

Abstract: In this talk, I will discuss my progress on current research involving Fitting ideals or Fitting invariants. A few preliminary definitions (including what is meant by the "presentation" and the "resolution" of a module) will be given to introduce the topic. A proof of Fitting's Lemma with respect to finitely generated modules over a polynomial ring will be presented. This lemma states that ideals generated by the k by k minors of a presentation matrix depend only on the module and not the presentation. Subsequent talks will explore the connection between these ideals and the projective dimension of the resolution of the module.