Recorded 15 April 2024. Benjamin Young of the University of Oregon presents "The squish map and the SL_2 double-dimer model" at IPAM's Integrability and Algebraic Combinatorics Workshop. Abstract: In this joint work with Leigh Foster, we define and investigate a measure-preserving map from the 2-periodic single dimer model on the hexagon lattice to an instance of Kenyon's 1-periodic SL_2(C) double-dimer model on a coarser hexagon lattice. It is based on Young's squish map, defined in earlier work. This allows us to re-use existing computations of the 2-periodic single-dimer partition function (and, in principle, the correlation functions) in a portion of the parameter space of the the harder double-dimer model. The other direction of the map allows for some interesting conjectures in plane partition enumeration, when some of the generating function variables are specialized to roots of unity. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-ii-integrability-and-algebraic-combinatorics/