EVENT DETAILS AND ABSTRACT

Title: Cellular methods and TAQ
Speaker: Rolf Hoyer
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

Advances in stable homotopy theory have led to a nice category of spectra that allows constructions precisely analogous to those in ordinary algebra. Topological André-Quillen cohmology (TAQ) is a natural invariant theory for structured commutative ring spectra.

I will describe joint work with Andrew Baker examining TAQ of the Eilenberg-Maclane spectrum HF_2 viewed as an algebra over the sphere spectrum. This is an application of cellular methods in the category of commutative S-algebras. The splitting theorem of Steinberger will apply in our example, and algebraic control will be established over the resulting Eilenberg-Maclane summands.