Moscow Arnold's seminar, March 19th, 2002 M. Kazarian, Multisingularities and cobordisms (continuation) We will discuss the details of the following subjects: 1) The justification of the main formula expressing the classes of multisingularities via the residue polynomials 2) The application of Rimanyi's method to computing the residue polynomials 3) The parallel theory of Legendre characteristic classes and multisingularities of fronts