I will discuss joint work with Federico Camia and Jianping Jiang (arXiv:1707.02668) which proves exponential decay of correlations for the generalized random field that is the scaling limit of the near-critical (i.e., with small magnetic field at the critical temperature) two-dimensional Ising model. The proof involves both lattice and continuum FK (Fortuin-Kasteleyn) representations of the...