The Squish Map and the SL_2 Double-Dimer Model

Explore a 50-minute lecture on the squish map and SL_2 double-dimer model presented by Benjamin Young from the University of Oregon at IPAM's Integrability and Algebraic Combinatorics Workshop. Delve into joint research with Leigh Foster, examining a measure-preserving map connecting the 2-periodic single dimer model on the hexagon lattice to Kenyon's 1-periodic SL_2(C) double-dimer model. Discover how this approach allows for the application of existing 2-periodic single-dimer partition function computations to the more complex double-dimer model. Investigate potential conjectures in plane partition enumeration when certain generating function variables are specialized to roots of unity. Gain insights into cutting-edge research in algebraic combinatorics and its applications to integrable systems.

Benjamin Young - The squish map and the SL_2 double-dimer model - IPAM at UCLA