My first article (joint work with Bruno Vallette) has just appeared on arXiv!
It deals with various constructions related to the homotopy theory of dg
operads over arbitrary unital commutative rings: in particular, we define a
higher cobar-bar adjunction and show that it provides us with a new cofibrant
replacement functor, and introduce a notion of higher homotopy operads. Here,
I would like to take the time to explain the motivation behind this work,
sketch the approach we used, and talk about the meaning of the main results.