Lie algebroids from higher Lie groupoids

Recently there has been increasing interest in Lie n-groupoids, certain higher generalizations of Lie groupoids. One expects such objects to have (infinitesimal) linear counterparts in the form of Lie algebroids, but the construction of such algebroids tends to be quite complicated. In this talk I will describe a method for associating a Lie algebroid to a higher Lie groupoid by constructing a formal moduli problem, which in turn is classified by a Lie algebroid.