Plateau's problem asks whether for a given curve in Euclidean space there
exists a Sobolev disc of least area spanning it. While the positive answer is
well known for Jordan curves, the classical theory breaks down for
self-intersecting curves. In the talk we discuss a solution of Plateau's problem
for singular curves possibly having self-intersections. It relies on recent
results by Lytchak and Wenger concerning Plateau's problem in general metric
spaces.