Febrary 16 On the recent papers of Arnold (talk of V.M.Zakalyukin) -- First steps of local symplectic algebra -- First steps of local contact algebra Arnold classifies the simple singularities of curves in symplectic and contact spaces (up to the right-left group, preserving the corresponding structure in the target space) First examples shows the existence of new invariants. The technics used is based on special structures in local algebras of singularities.