Lie Groups Seminar

Bruce FontaineCornell University
Cluster algebras - part I

Friday, October 18, 2013 - 3:30pm
Malott 406

In 2001, while investigating the connection between total positivity and the canonical basis, Fomin and Zelevinsky developed the theory of cluster algebras. I will show how these two topics inspired the definitions of a cluster algebra and will show how one obtains a cluster structure on the coordinate ring of the base affine space, $\mathbf{C}[\mathbf{SL}_n/N]$.