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 (

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.



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