Green Family Lecture #2: Critical phenomena through the lens of the Ising model (at UCLA Mong Auditorium)

Hugo Duminil-Copin
The University of Geneva

The Ising model is one of the most classical lattice models of statistical physics undergoing a phase transition. Initially imagined as a model for ferromagnetism, it revealed itself as a very rich mathematical object and a powerful theoretical tool to understand cooperative phenomena. Over one hundred years of its history, a profound understanding of its
critical phase has been obtained. While integrability and mean-field behavior led to extraordinary breakthroughs in the two-dimensional and high-dimensional cases respectively, the model in three and four dimensions remained mysterious for years. In this talk, we will present recent progress in these dimensions based on a probabilistic interpretation of the Ising model relating it to percolation models.

Back to Workshop IV: Vertex Models: Algebraic and Probabilistic Aspects of Universality