Title: Proving conformal invariance using discrete holomorphicity Abstract: The understanding of critical 2D statistical physics has undergone a revolution in the past two decades thanks to several breakthroughs. A celebrated discovery came with the introduction of SLE by Oded Schramm. This process describes the scaling limit of interfaces of models at criticality and therefore led to an important machinery shedding a completely new light on 2D statistical physics. But another tool, called discrete holomorphicity, was introduced at the same time and enabled the proof of conformal invariance for very important 2D lattice models. This tool originated in graph theory before being used in statistical physics to prove conformal invariance of the dimer and the planar Ising models. In this talk, we will review the use of discrete holomorphicity in 2D statistical physics.
Thu, 02/03/2017 - 14:30 to 15:30
Manchester Building (Hall 2), Hebrew University Jerusalem