Commutative Algebra Seminar
Spring 2008



Thu, 28 Aug 2008: Srikanth Iyengar 

Wed, 27 Aug 2008: Srikanth Iyengar 

Title: Beyond finite representation type: Representation dimension. 


Thu, 17 Apr 2008: Liana Sega. 

Title: "Acyclic complexes of finitely generated free modules over local rings" 

ABSTRACT: I will consider the question of how minimal acyclic complexes of free modules arise. A standard construction gives that every totally reflexive module yields such a complex. While for certain classes of rings this is the only method of obtaining such complexes, I will show that this is not always the case. These results are joint work with D. Jorgensen and M. Hughes. 


Wed, 16 Apr 2008: Sylvia Wiegand. 

Title: Prime ideals in mixed polynomial/power series rings 

ABSTRACT: We consider prime spectra and relationships between spectra for extensions of rings of this type. We study the question: For two commutative domains R and S, with R\subseteq S, when does every nonzero prime ideal of S intersect R in a nonzero prime ideal? This is joint work with William Heinzer and Christel Rotthaus. We have some results for complete local domains R and S, especially for power series rings. 


Wed, 12 Mar 2008: Samar Al Hitti from University of Missouri. 


Wed, 05 Mar 2008: Manoj Kummini from the University of Kansas. 


Tue, 04 Mar 2008: Ian Aberbach from the University of Missouri. 


Thu, 28 Feb 2008: Claudia Miller from Syracuse University. 


Wed, 20 Feb 2008: Lars Christensen. 


Thu, 14 Feb 2008: Emilie Dufrense, graduate student from Queen's University 


Wed, 13 Feb 2008: Tom Marley 

Title: "Limit closure, regular sequences, and a characterization of Gorenstein rings." 


Wed, 16 Jan 2008: Christina Eubanks-Turner 

TITLE: Prime ideals in mixed polynomial/power series rings 

ABSTRACT: In this talk I will examine prime spectra as partially- ordered sets in low-dimensional mixed polynomial/power series rings over one-dimensional rings, such as the integers. Our main result is a characterization of a partially-ordered set describing some ring extensions of two-dimensional power series rings.