• Title: Cluster algebras of geometric type I
• Date: 10/05/2017
• Time: 10:00 AM - 10:50 AM
• Place: C304 Wells Hall
• Speaker: Leonid Chekov, Michigan State University

I will describe how cluster algebras arise in hyperbolic geometry of Riemann surfaces \Sigma_{g,s} with s>0 holes with the identification of cluster variables with Penner's lambda lengths, X-variables with shear coordinates, and terms of exchange matrices --- with coefficients of Poisson relations between the shear coordinates. I also describe sets of geodesic functions and their algebras induced by semiclassical/quantum relations for the shear coordinates.