##### Department of Mathematics,

University of California San Diego

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### Algebra Seminar

## Paul Roberts

#### University of Utah

## Almost Cohen-Macaulay algebras

##### Abstract:

The study of Cohen-Macaulay rings and modules has been a central topic in Commutative Algebra for many years. Among other things, they have played a major role in the investigations of the "Homological Conjectures", a set of problems on finite projective dimension, intersection theory, and related subjects. More recently, as a result of advances in the homological conjectures and developments in Arithmetic Geometry, a number of questions have come up about "almost" Cohen-Macaulay modules and algebras. In this talk I will give some background to these topics, discuss what almost Cohen-Macaulay algebras are and why they are interesting, and present various recent developments and open problems in this area.

Host: Dan Rogalski

### October 22, 2012

### 3:00 PM

### AP&M 7218

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