Colloquium de l'Institut

Critical phenomena through the lens of the Ising modelTBA

by Prof. Hugo Duminil-Copin (IHES)

Auditorium Fermat (Bâtiment 1A, Université Paul Sabatier)

Auditorium Fermat

Bâtiment 1A, Université Paul Sabatier


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.

Organized by

Dan Popovici et Mark Spivakovsky