Seminars & Colloquia Calendar
Emerging symmetries in 2D percolation
Hugo Duminil-Copin - Université de Genève
Date & time: Wednesday, 08 September 2021 at 10:45AM - 11:45PM
A great achievement of physics in the second half of the twentieth century has been the prediction of conformal symmetry of the scaling limit of critical statistical physics systems. Around the turn of the millennium, the mathematical understanding of this fact progressed tremendously in two dimensions with the introduction of the Schramm-Loewner Evolution and the proofs of conformal invariance of the Ising model and dimers. Nevertheless, the understanding is still restricted to very specific models. In this talk, we will discuss the notion of conformal invariance of lattice systems by taking the example of percolation models. We will also explain some recent proof of rotational invariance for a large class of such models. This represents a progress in the direction of proving full conformal invariance.