Department of Mathematics

Seminar in Cluster algebras

  •  Cluster algebras of geometric type I
  •  10/05/2017
  •  10:00 AM - 10:50 AM
  •  C304 Wells Hall
  •  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.

 

Contact

Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science