Back to Commutative Algebra Seminar: Spring 2016
Commutative Algebra Seminar
Date: Friday, Mar 4, 2016
Time: 3:10PM - 4:00PM
Location: LCB 222
Ian Shipman
University of Utah
Title |
From representation varieties to Cohen-Macaulay modules |
Abstract |
An important tool in the study of algebras is the representation variety, which parameterizes representations of a fixed dimension. These varieties are useful for organizing the representation theory of wild algebras and also raise interesting geometric questions themselves. It turns out that it is possible to define well-behaved representation varieties for commutative graded rings. These varieties parameterize maximal Cohen-Macaulay (MCM) modules. In my talk, I will explain some recent results both on representation varieties for a natural class of finite dimensional (non-commutative) algebras and on MCM modules over graded rings. |
Commutative Algebra