Critical Phenomena Through the Lens of the Ising Model

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.

The 10th Heidelberg Laureate Forum took place from September 24–29, 2023. #HLF23

The Heidelberg Laureate Forum (HLF) is an annual networking conference where 200 carefully selected young researchers in mathematics and computer science spend a week interacting with the laureates of the most prestigious awards in their disciplines: the Abel Prize, ACM A.M. Turing Award, ACM Prize in Computing, Fields Medal, IMU Abacus Medal and Nevanlinna Prize.

The opinions expressed in the videos do not necessarily reflect the views of the Heidelberg Laureate Forum Foundation or any other person or associated institution involved in the making and distribution of these videos.

More information on the Heidelberg Laureate Forum:
https://www.heidelberg-laureate-forum...

Follow us on social media!
Blog: https://scilogs.spektrum.de/hlf/
LinkedIn:   / heidelberg-laureate-forum-foundation  
X/Twitter:   / hlforum  
Instagram:   / hlforum  
Facebook:   / heidelberglaureateforum