Panorama of Mathematics - Clusters, Loops and Trees in the Ising Model

Explore the intricacies of the Ising model in this comprehensive conference talk by Stanislav Smirnov at the Hausdorff Center for Mathematics. Delve into clusters, loops, and trees as Smirnov presents "Clusters, loops and trees in the Ising model" during the "Panorama of Mathematics" conference. Learn about two frameworks, normalization, Conformal Field Theory, and various methods including uniform spanning tree and discrete complex analysis. Examine concepts such as random cost representation, discrete analytic functions, and the FK model. Discover how these ideas connect through looping, branching, and global dynamics, providing a deep understanding of the Ising model's applications in mathematical sciences.

Intro
The easing model
The using model
Two frameworks
Normalization
Conformal Field Theory
Recap
Two methods
Uniform spanning tree
Proof
Stochastic Cows
Discrete Complex Analysis
Random Cost Representation
Easing Model
Discrete analytic function
Bottom line
FK model
Loops
Branching
Silly generalization
Discrete analytic
Boundary value problem
Canonical geometry
Global dynamics