Collection Perfectly matched perspectives on statistical mechanics, combinatorics and geometry / Perspectives couplées sur la mécanique statistique, la combinatoire et la géométrie
The dimer model is one of the fundamental systems in two-dimensional statistical mechanics. Used for example as model for ferromagnetism or crystal melting, and having a formulation in terms of random tilings, it is exactly solvable in a strong sense. Its correlations can be expressed in terms of determinantal point processes: it is thus a model of lattice free fermions. Many instances have a conformally invariant scaling limit, described by the Gaussian free field. In the recent years, additional structures have been discovered, unveiling deep connections with combinatorics, algebraic geometry, integrable systems, and discrete differential geometry. The richness of these structures and the interplay of various branches of mathematics make the dimer model special and particularly attractive. It is the object of study of a growing number of researchers from various fields: physicists, mathematicians and computer scientists.
The goal of the conference is to bring together specialists of various aspects of the dimer model, from statistical mechanics and combinatorics to algebra and geometry, but also younger participants who want to learn more about the field, showcasing the latest results and providing a unique forum for future collaborations and scientific discoveries.
Presentations will focus on the newest results on dimers and related models and the exposition of innovative techniques likely to yield significant breakthrough in the future.
Organizer(s) Boutillier, Cédric ; Chhita, Sunil ; George, Terrence ; Li, Zhongyang ; Tilière, Béatrice de
Date(s) 16/06/2025 - 20/06/2025
linked URL https://conferences.cirm-math.fr/3178.html