Presented by: 
Peter McNamara (UQ)
Mon 16 Mar, 2:00 pm - 2:45 pm
Hawken Building (50), room N202

The field of cluster algebras is a thriving new field of mathematics with connections to Lie theory, quiver representations, Teichmuller theory, Poisson geometry, total positivity and statistical physics. I will concentrate on the motivating origins of the subject in seeking to understand remarkable multiplicative properties of dual canonical bases appearing in Lie theory. Despite being introduced in 2000, the theory of cluster algebras has only recently been able to say something about these bases. It is this result, and the related categorical structures which shall be the focus of this talk.