Critical phenomena through the lens of the Ising modelTBA

par Prof. Hugo Duminil-Copin (IHES)

vendredi 15 mars 2024, 13:00 → 14:30 Europe/Paris

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.