Basics of the geometrical formulation of the dynamics of supersymmetric
objects are considered and its relation to conventional formulations of
superbranes is discussed. In particular, we demonstrate how the kappa-symmetry
of the Green-Schwarz formulation shows up from local worldvolume supersymmetry,
and briefly discuss applications of the superembedding approach.Comment: LaTeX2e file, 11 pages. Invited lecture given at the XXXVII Karpacz
Winter School "New Developments in Fundamental Interactions Theories"
(February 6-15, 2000, Karpacz, Poland). To be published in Proceeding
