Mathematics Colloquium: Saeed Nasseh (Georgia Southern University)
Access & Features
- Open to the public
Title: Modules over finite dimensional algebras: Application to a conjecture in commutative algebra.
Abstract: When F is a field and R an F-algebra, it is often important to classify the R-module structures carried by some fixed F-vector space V. We will describe, in down-to-earth terms, a classical approach to that problem, which involves linear algebra, group theory, algebraic geometry, and homological algebra. Using tools from algebraic topology, we will then sketch new developments of these techniques and their application to the proof of a result in commutative algebra, which completely answers a conjecture posed by Vasconcelos in 1974.