Department of Mathematics

Seminar in Cluster algebras

  •  The Boundary Measurement Matrix
  •  10/04/2016
  •  1:00 PM - 1:50 PM
  •  C304 Wells Hall
  •  John Machacek, MSU

Given an edge weighted directed graph embedded on a surface, the boundary measurement matrix has entries given by signed sums of paths between vertices. Postnikov (2006) first studied the boundary measurement matrix for graphs embedded on a disk, and a formula for the maximal minors (i.e. Plücker coordinates) was given by Talaska (2008). We will consider graphs embedded on any closed orientable surface with boundary and give a formula of the maximal minors of the boundary measurement matrix.



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