Department of Mathematics

Geometry and Topology

  •  Daniel Douglas, Yale
  •  Dimers, webs, and local systems
  •  10/11/2022
  •  3:00 PM - 4:00 PM
  •  C304 Wells Hall (Virtual Meeting Link)
  •  Vijay B Higgins (higgi231@msu.edu)

For a planar bipartite graph G equipped with a SLn-local system, we show that the determinant of the associated Kasteleyn matrix counts “n-multiwebs” (generalizations of n-webs) in G, weighted by their web-traces. We use this fact to study random n-multiwebs in graphs on some simple surfaces. Time permitting, we will discuss some relations to Fock-Goncharov theory. This is joint work with Rick Kenyon and Haolin Shi.

 

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