Number Theory Seminar

Speaker: Dani Kaufman (KU)

Title: Cluster Symmetries and K-Theory

Abstract: In this talk I will recall the notion of a cluster algebra and its symmetry group known as the cluster modular group. As motivation for their study, I will show how cluster modular group elements can be used to produce elements of K groups of a field. I will also show how these ideas relate to a conjecture surrounding the modularity of certain q partition series called Nahm sums.