The Goodwillie calculus of polyhedral products
The Goodwillie calculus of polyhedral products

Guy Boyde, Universiteit Utrecht
Roughly speaking, Goodwillie calculus gives ways in which an unstable object (a space or a spacevalued functor) is built up from `stable data plus extension problems'. This description takes the form of a tower of approximations, which we think of as a `Taylor series' for the space.I'll give a gentle introduction to Goodwillie calculus, explaining how to get HiltonMilnortype decompositions of the Goodwillie tower for certain polyhedral products, and what such decompositions are good for. This question was appealing partly because these decompositions are in a certain sense `formal' for the wedge and the product, but in different ways. All of this is joint work with Niall Taggart.
Online Talk