Recorded 12 March 2024. Cédric Boutillier of Sorbonne Université presents "Dimer models and random tilings (Part 1)" at IPAM's Geometry, Statistical Mechanics, and Integrability Tutorials. Abstract: Dimer models are natural probability measures on perfect matchings of a graph. When this graph is (a piece of) the square lattice (resp. the hexagonal lattice), perfect matchings correspond to tilings of (a region of) the plane by dominos (resp. by rhombi). In this tutorial, we present several tools to study these models: Kasteleyn's theory, combinatorial correspondences with other models as well as asymptotic methods in large-scale limits. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/geometry-statistical-mechanics-and-integrability-tutorials/