Dimers, webs, and local systems

Geometry & Topology
Event time: 
Tuesday, May 3, 2022 - 4:15pm
LOM 214
Haolin Shi
Speaker affiliation: 
Event description: 

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. This is joint work with Daniel Douglas and Richard Kenyon.