GSU-USC Commutative Algebra Seminar, September 2007
Atlanta, GA
September 16, 2007



The seminar represents a collaborative effort of commutative algebraists at Georgia State University and University of South Carolina to increase exposure of their research area in the South-East through periodic meetings. Each term GSU and USC organize a local seminar and a national one. This Fall, GSU will organize the local seminar. There will be a national meeting in Columbia, SC in November 2007, see the following webpage. For some of the past seminars, see the following links April 2007, March 2007 or Fall 2006 and earlier.

Organizers

Florian Enescu (Georgia State University) fenescu@gsu.edu
Yongwei Yao (Georgia State University) yyao@gsu.edu

Speakers and Titles

Andy Kustin University of South Carolina,
An explicit, characteristic-free, equivariant homology equivalence between Koszul complexes

Bart Snapp Coastal Carolina University,
Generalized Local Cohomology and the Canonical Element Conjecture

Adela Vraciu University of South Carolina,
When is tight closure determined by the test ideal?
Abstract: We say that tight closure is determined by the test ideal in the ring $R$ if $I^*=\tau I : \tau $ for every ideal $I$ in $R$. We show that this is the case for every complete one-dimensional local ring $R$ with infinite residue field. On the other hand, if $R$ is normal, complete and Cohen-Macaulay with perfect residue field, tight closure is determined by the test ideal if and only if $R$ is weakly F-regular. This is joint work with Janet Vassilev.

Diana White University of South Carolina Relative Homological Algebra

Schedule:


Sunday

9:15-9:45am Coffee

9:45-10:35am Bart Snapp

11:00-11:50am Adela Vraciu

11:50-1:15pm Lunch Break

1:15-2:05pm Diana White

2:20-3:10pm Andy Kustin

All talks will take place in 796 COE (Paul Erdos conference room).
Return to the Commutative Algebra Meetings in the Southeast home page.