Event Details

g-vectors in representation theory

The goal of this talk is to give a flavour of how representation theory can be applied to the recent theory of cluster algebras, introduced by Fomin and Zelevinsky. These are primarily combinatorial objects, with a great deal of complicated structure, which in the original definition must be computed recursively from some small amount of initial data. Using the cluster-theoretic notion of g-vectors as an example, I will demonstrate how homological methods from representation theory can be used to circumvent this recursive process, resulting in more direct computations.