Workshop on Cluster Algebras
5 October 2014
Between 17-18 October 2014, Cardiff University School of Mathematics will be hosting the Workshop on Cluster Algebras and Preprojective Algebras.
Cluster algebras were first introduced by Fomin and Zelevinsky in 2002. They are constructively defined commutative rings equipped with a distinguished set of generators grouped into overlapping subsets of the same finite cardinality. Since its inception, the theory of cluster algebras has found many exciting connections and applications, including quiver representations, (higher rank) preprojective algebras, Calabi-Yau algebras and categories, Teichmüller theory, discrete integrable systems, Poisson geometry and tropical geometry.
Preprojective algebras are an important tool for the study of cluster algebras. The cluster algebra structure on the algebra of polynomial functions on a maximal unipotent subgroup of a Lie group of Dynkin type can be realised inside the category of finite-dimensional modules over a preprojective algebra.
The purpose of this workshop is to explore further the connections between cluster algebras, (higher rank) preprojective algebras and some of the other applications mentioned above such as quiver representations, Calabi-Yau algebras and categories, discrete integrable systems and tropical geometry. It aims to bring together experts in these fields from the UK and overseas. The meeting will also provide opportunity for groups of researchers who may have hitherto had limited exposure to one another, such as algebraists on the one hand and operator algebraists working in mathematical physics on the other.
The workshop boasts many eminent speakers, including Karin Baur (Graz), Raf Bocklandt (Amsterdam), Anna Felikson (Durham), Jan Grabowski (Lancaster), Alastair King (Bath), Philipp Lampe (Bielefeld) an Idun Reiten (Trondheim).
For more information or to register for the workshop, please visit the Workshop on Cluster Algebras and Preprojective Algebras site or contact the workshop organiser Dr Mathew Pugh.