## Seminar in Cluster algebras

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

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.

## Contact

Department of Mathematics
Michigan State University