# Friday, June 15, 2018 - 15:30 in U2-113

The curved $A_{\infty}$-coalgebra of the Koszul codual of a filtered dg algebra

A talk in the Seminar Representation Theory of Algebras series by
Estanislao Herscovich from Grenoble

 Abstract: In this talk I will present a result allowing to compute the coaugmented curved $A_{\infty}$-coalgebra structure of the Koszul codual of a filtered dg algebra over a field $k$. This provides a generalisation of a result by B. Keller, which described the $A_{\infty}$-coalgebra structure of the Koszul codual of a nonnegatively graded connected algebra. As an application, I will show how to compute the coaugmented curved $A_{\infty}$-coalgebra structure of the Koszul codual of a PBW deformation of an $N$-Koszul algebra, extending a previous result by G. Fløystad and J. Vatne.

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