Comparison of Nerve Functors for Strict n-Categories

The nerve functor from categories to simplicial sets allows to associate to any small category a homotopy type giving rise to a homotopy theory of small categories studied by Quillen, Thomason and Grothendieck. To generalize this picture to higher categories, one needs an analogous nerve functor. But there exists plenty of possibilities! The purpose of this talk will be to explain generalities about comparison of nerve functors and to show that the for strict n-categories the multi-simplicial nerve, the cellular nerve and Street's nerve are all equivalent.