2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/200614Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling limits: percolation, Ising model, self-avoiding polymers, ... This has led to numerous exact (but non-rigorous) predictions of their scaling exponents and dimensions. We will discuss how to prove the conformal invariance conjectures, especially in relation to Schramm-Loewner Evolution.ICM 2006 paper with a few typos correctedMathematical PhysicsComplex VariablesProbability82B20, 60K35, 82B43, 30C35, 81T40text