Estanislao Herscovich
Universidad de Buenos Aires
A_infinity-algebras and (generalizations of) Koszul algebras.
Abstract: In this talk I will recall the well-known results about the connection between the notions of Koszul and generalized Koszul algebras, and the A_infinity-algebra structure on the corresponding Yoneda algebras. Then, I will present a further generalization of the notion of Koszul algebras, which deals with any (locally finite dimensional) nonnegatively graded connected algebra, and I will show that the A_infinity-algebra structure on the corresponding Yoneda algebra can be computed following a similar pattern as in the case of Koszul and generalized Koszul algebras.