Date/Time Date(s) - 01/12/20223:30 pm - 4:30 pm
Speaker: Daniel Douglas (Yale)
Title: Dimers, webs, and local systems
Abstract: For a planar bipartite graph G equipped with a SL(n)-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 Rick Kenyon and Haolin Shi.
Location: HH 312