Cosimplicial models for Goodwillie-Weiss manifold calculus

Goodwillie-Weiss manifold calculus is a tool which gives excellent  approximations to  some topological constructions on manifolds. It has been used for  example to obtain many  informations on the homotopy type of the  space of smooth embeddings of a  manifold M into a manifold W, Emb(M,W).
In this talk I will recall the key principles behind Goodwillie-Weiss  manifold calculus and I will explain a  new tool to compute this Goodwillie-Weiss approximations of the form of  an explicit cosimplicial space built out of a simplicial model of the  manifold.

This is a joint work with Pedro Boavida, Daniel Pryor, and Arnaud  Songhafouo.