Cluster algebras in connection with Grassmannians.


                 Dr. Joshua Scott, Northeastern University   


Abstract: 
After a brief survey of {\it cluster algebras}, 
I will demonstrate that the homogeneous coordinate ring
of the Grassmannian $\Bbb{G}(k,n)$ is a cluster algebra of
geometric type - as defined by S. Fomin and
A. Zelevinsky. If time permits, I will discuss the classification of 
Grassmannians having {\it finite cluster type} and I will describe 
the associated cluster variables in connection with the geometry of
configurations of points in $\Bbb{R}\Bbb{P}^2$.