23 May 2006 1:00 - 2:30 M Weber Title: 2-toposes III Abstract: In previous lectures the notion of 2-topos, its associated yoneda structure and some examples were discussed. In this talk we will explain some of the theory -- in particular: the structure of $\Omega$ (the codomain of the classifying discrete opfibration), the 2-dimensional analogue of "natural numbers object", and (time permitting) some applications to the general theory of operads.