Hongler, Clément2014-07-182014-07-182014-07-18201210.1142/9789814449243_0023https://infoscience.epfl.ch/handle/20.500.14299/105147We review recent results with D. Chelkak and K. Izyurov, where we rigorously prove existence and conformal invariance of scaling limits of magnetization and multi-point spin correlations in the critical Ising model on an arbitrary simply connected planar domain. This solves a number of conjectures coming from physical and mathematical literatures. The proof is based on convergence results for discrete holomorphic spinorobservablesIsing ModelConformal Field TheoryConformal InvarianceExact SolvabilityScaling LimitsCritical PhenomenaSpinorsDiscrete Compley Analysistext::conference output::conference proceedings::conference paper