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Critical Phenomena Through the Lens of the Ising Model

Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube

Tags

Statistical Physics Courses Phase Transitions Courses Mathematical Physics Courses Ising Model Courses Integrability Courses Critical Phenomena Courses Percolation Theory Courses Lattice Models Courses

Course Description

Overview

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Explore critical phenomena through the lens of the Ising model in this Green Family Lecture presented by Hugo Duminil-Copin from the University of Geneva. Delve into the rich mathematical history and theoretical applications of the Ising model, initially conceived for ferromagnetism but now recognized as a powerful tool for understanding cooperative phenomena. Examine the model's critical phase, including breakthroughs in two-dimensional and high-dimensional cases through integrability and mean-field behavior. Discover recent progress in the mysterious three- and four-dimensional cases, focusing on a probabilistic interpretation that connects the Ising model to percolation models. Gain insights into this fundamental lattice model of statistical physics and its significance in understanding phase transitions.

Syllabus

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


Taught by

Institute for Pure & Applied Mathematics (IPAM)

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