### Higher order principal bundles, by J.F. Jardine and Z. Luo

We define torsors for sheaves of simplicial groups and sheaves of
groupoids enriched in simplicial sets, and give classification results
for these torsors in terms of the homotopy theory of simplicial
sheaves. The proofs of the classification results use a new, general
approach to cocycles taking values in simplicial sheaves. We prove a
homotopy classification result for gerbes locally isomorphic to a
fixed sheaf of groups.

J.F. Jardine <jardine@uwo.ca>

Z. Luo <zluo@uwo.ca>