Title: Spaces of non-k-equal configurations of points in R^d and spaces of non-k-equal immersions.

Abstract. The homology of spaces of non-k-equal configurations of points in a euclidean space are well known but have a rather complicated combinatorial description. In a joint work with Natalya Dobrynskaya we found a more natural geometric description of this homology based on an operadic approach. This homology will be subject of the first part of the talk. In the second part I will explain how this operadic structure intervenes in the study of spaces of non-k-equal immersions.