EVENT DETAILS AND ABSTRACT

Title: Dimers, webs, and local systems
Speaker: Daniel Douglas
Speaker Info: Yale University
Brief Description:
Special Note:
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. Time permitting, we will discuss some relations to Fock-Goncharov theory. This is joint work with Rick Kenyon and Haolin Shi.