Koszulity of the Cohomology Algebra of Stable Pointed Curves of Genus Zero

After introducing the moduli space of stable n-pointed curves of genus zero and describing its cohomology algebra, we present an approach towards koszulity of this algebra for the case n=6, first developed by Natalia Iyudu. It utilizes the concept of potential algebras, which are algebras with relations generated by the derivatives of a cyclic polynomial.