Towards 3-point functions in N=4 super Yang-Mills theory with the Quantum Spectral Curve

Thanks to integrability, huge progress has been made in the study of N=4 supersymmetric Yang-Mills theory in the planar limit. In particular, the spectrum of the theory is described at finite coupling by a mathematical formalism known as the Quantum Spectral Curve. After reviewing this formulation, I will present evidence that the Quantum Spectral Curve may also be the key to the computation of generic correlation functions, by studying a large class of three point functions in a non-local sector of the theory. Finally, I will discuss some work in progress to extend this approach to local operators.