Let $X$ be a topological space. We may naturally associate to $X$ a simplicial set which is a Kan complex. This in turn gives rise to the fundamental $\infty$-groupoid associated to $X$. From this object we can recover the usual fundamental groupoid associated to $X$. In this way we can view the fundamental groupoid as a higher dimensional decategorification of an $\infty$-groupoid.
Now assume that $X$ is a scheme. There is a natural concept of the the etale fundamental groupoid associated to $X$. More precisely the objects are geometric points of $X$ and morphisms are isomorphisms of the associated etale fibre functors.
My question is the following: Is there a concept of the etale fundamental $\infty$-groupoid associated to $X$, from which we can recover the usual etale fundamental groupoid as in the topological setting?
