Hugo Duminil-Copin - Critical phenomena through the lens of the Ising model - Green Family Lecture

May 21, 2024
Recorded 21 May 2024 at the Mong Auditorium. Hugo Duminil-Copin of the The University of Geneva presents "Critical phenomena through the lens of the Ising model" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: 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. About the Green Family Lecture: IPAM’s co-founder and former director Mark L. Green and his family established a generous endowment in 2011 to support an annual lecture series at IPAM. In 2017, they made a second gift to expand the series to two per year. Since 2012, the Green Family Lecture Series has attracted speakers of the highest international stature. Their lectures cover topics of interest to IPAM participants, the university audience and the broader community. Learn more online at: