SPEAKER: Junwu Tu
TITLE: Tensor products of cyclic A_\infty algebras and their Kontsevich classes
ABSTRACT: In this talk we show that the tensor product of two cyclic A_\infty algebras is again cyclic. Moreover the Kontsevich class of the tensor product algebra is the cup product of the Kontsevich classes. Thus asscociating a cyclic A_\infty algebra to its Kontsevich class behave like a mysterous "Chern character" map from the "K-theory" of A-infinity algebras to the cohomology of moduli space of curves.