EVENT DETAILS AND ABSTRACT

Title: The Goodwillie tower of the identity in Alg_O(Sp) (with a side helping of general context for Goodwillie Cauculus)\r\n
Speaker: Luis Alexandre Pereira
Speaker Info: MIT
Brief Description:
Special Note:
Abstract:

The main goal of this talk will be to show that the Goodwillie tower of the identity in Alg_O(Sp), where O is a spectral operad, is given by the truncation functors (this tower was first studied by Harper and Hess).

The first part of the talk will provide an overview to a more general context for Goodwillie calculus in model categories (as the treatment by Goodwillie only dealt with the cases of Top and Spec), lightly touching on some of the technical problems that arise.

Then, in the second part, we apply that context to Alg_O(Sp) and, using the fact that the stabilization of Alg_O is Mod_O(1), show that indeed the Harper-Hess tower is the Goodwillie tower.