The notion of Calabi-Yau algebras was introduced by Ginzburg in 2007 and has widely been studied since then. In this talk, we show that for a Koszul Calabi-Yau algebra, there is a shifted noncommutative symplectic structure on the associated derived non-commutative affine scheme (will be more precise), and hence its derived representation schemes have a shifted symplectic structure in the sense of Pantev et. al. The talk is based on a joint work with F. Eshmatov.