1 Table of Contents: “... homological algebra -- 7.Koszul duality of operads -- 8.Methods to prove Koszulity of an operad -- 9...”

2 “... of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology...”

3 “... with Hochschild homology, de Rham cohomology, S1 equivariant homology, the Chern character, Lie algebra homology...”