Pascal Lambrechts: 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 space, Emb(M,W), of smooth embeddings of a manifold M into a manifold 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 join work with Pedro Boavida, Daniel Pryor, and Arnaud Songhafouo.