Tuesday, 13 October 2026, 14:00 – A Conformal Loop Ensemble ($mathrm{CLE}_kappa$) is a canonical family of random collections of non-crossing loops in a two-dimensional planar domain, indexed by a parameter $kappa in (8/3, 8)$. CLEs describe the scaling limits of interfaces in critical statistical mechanics models on planar lattices and random planar maps such as the …