%0 Journal Article %T Some recent aspects of random conformally invariant systems %A Wendelin Werner %J Mathematics %D 2005 %I arXiv %X These are the lecture notes from a course given in July 2005 at the summer school in Les Houches. We describe some recent results concerning two-dimensional conformally invariant systems. In particular, we discuss conformally invariant measures on loops and conformal loop-ensembles (CLE). %U http://arxiv.org/abs/math/0511268v1