Exploring Boundary Conditions of Bicolored Maps: Universal Behaviors and New Structures

Explore the intricacies of bicolored maps in this 39-minute lecture from the Workshop on "Non-commutative Geometry meets Topological Recursion" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the complexity of bicolored faces as a special case of the 2-matrix model and the Ising model on maps. Examine various boundary conditions, including monochromatic, Dobrushin, and alternating, and their significance in random map models. Discover how studying these different boundary conditions reveals similar asymptotic behaviors and uncovers unexpected underlying structures. Learn about the collaborative research with Jérémie Bouttier, Valentin Baillard, and Bertrand Eynard that forms the basis of this presentation.