Matthew Burke

Title: A Two Dimensional Setting for the Calculus of Infinity Functors: Part II
Abstract:
In this talk we continue describing the calculus of infinity functors in terms of derivators. First we recall what a derivator is, the basic examples of derivators, the definition of Cartesian square and what it means to be an excisive morphism of derivators. Then we develop the basic theory of pointed and stable derivators and prove that the derivator of reduced excisive functors between two derivators is stable. If we have time we describe the zeroth and first order approximations of a derivator and define what a pre-stable derivator is.