Geometry and Topology Seminar - Daniel Douglas - Dimers, webs, and local systems


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
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