GSU-USC Commutative Algebra Seminar
Columbia, SC
November 2-4, 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.

  There will be one meeting in Atlanta and one meeting in Columbia each semester.

  For information about the Atlanta meeting please see web page for the Fall 2007 meeting in Atlanta.

  The following are links to information about previous meetings: Columbia, April 2007; Atlanta, March 2007; Columbia, November 2006


Andy Kustin (University of South Carolina)
Adela Vraciu (University of South Carolina)

Tentative Schedule

There will be a Colloquim on Friday, November 2 starting at 3:30. The Colloquim speaker will be Mel Hochster.

Title: Continuous closure
Abstract: Consider the polynomial functions in n complex variables. Suppose that one has several such polynomials f and f_1, ..., f_m. The talk will address the question, when can f be written as g_1 f_1 + ... + g_m f_m , where the functions g_i are only assumed to be continuous? There is an answer to this question conjectured by Holger Brenner, which, a bit surprisingly, gives a purely algebraic characterization. The talk, which is intended for a general audience, will describe what is known about this problem. The work described is joint with Neil Epstein.

The seminar talks will take place on Saturday, November 3 and Sunday November 4. There will be informal mathematical discussion on each afternoon after the talks.

Saturday, November 3

10:00 - 10:50 am: Florian Enescu, Georgia State University; Title: A question on F-injectivity with implications for F-stability

11:05 - 11:55 am: Anurag Singh, University of Utah; Title: Annihilators of local cohomology

2:00 - 2:50 pm: Yongwei Yao, Georgia State University; Title: Uniform test exponents for rings of finite F-representation type

3:05 - 3:55 pm: Alina Iacob, Georgia Southern University; Title: Avramov-Martsinkovsy type exact sequences

Sunday, November 4

10:00 - 10:55 am: Mel Hochster, University of Michigan; Title: Quasilength, a real-valued content for local cohomology modules, and the obstruction to the existence of big Cohen-Macaulay algebras (joint work with Craig Huneke)

11:05 - 11:55 am: Jinjia Li, Syracuse University; Title: Asymptotic vanishing conditions which force regularity in local rings of prime characteristic (joint with Ian Aberbach)