Stephanie Ziegenhagen: E_n-cohomology as functor cohomology.

E_n-algebras are algebras over an algebraic variant of the little n-cubes operad, hence can be thought of as an algebraic analogue of n-fold loop spaces. There is an associated notion of cohomology for these structures, called E_n-cohomology. I will explain how to calculate E_n-cohomology of a commutative algebra with coefficients in a bimodule via the iterated bar construction. Furthermore, I will give an interpretation of E_n-cohomology as functor cohomology in this context and discuss the associated Yoneda pairing.