Recorded 26 March 2024. Pavel Galashin of the University of California, Los Angeles, presents "Geometric objects associated to planar bipartite graphs" at IPAM's Statistical Mechanics and Discrete Geometry Workshop. Abstract: I will explain how to associate various topological and geometric data to a planar bipartite graph in a disk. Examples of objects include knots, cluster varieties, higher secondary polytopes, and critical varieties. I will also discuss some results on how these objects are related to each other. Based on joint work with T. Lam, A. Postnikov, and L. Williams. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-i-statistical-mechanics-and-discrete-geometry/