EVENT DETAILS AND ABSTRACT

Title: Approximating higher algebra by derived algebra
Speaker: William Balderrama
Speaker Info: UIUC
Brief Description:
Special Note:
Abstract:

A general heuristic in homotopy theory tells us that by understanding the operations which act naturally on the homotopy groups of a class of objects, one can build obstruction theories and so forth for working with these objects. For instance, in the setting of highly structured ring spectra, this heuristic leads one to obstruction theories built on top of power operations. In this talk I'll describe a general framework that makes it easy to set up these kinds of obstruction theories, with a focus on the particular example of K(n)-local E-infinity algebras over a Lubin-Tate spectrum. I'll explain how the picture one obtains is very pleasant at heights 1 and 2, and in particular can be applied to produce new E-infinity complex orientations.