Abstract
During the 1980s, developments in conformal field theory revolutionized physical understanding of critical phenomena in planar statistical physics. Some twenty years later, the mathematician Oded Schramm introduced a mathematical object, called Schramm-Loewner Evolution (SLE), to provide a mathematical understanding of how to prove conformal invariance of the interfaces of planar critical models. Thanks to this discovery, conformal field theory became accessible to mathematicians. In this talk, using classic examples such as the percolation problem, Hugo Duminil-Copin gave an elementary introduction to the basics of the SLE approach to critical systems and its links with conformal field theory.
