EVENT DETAILS AND ABSTRACT

Title: Coassembly maps, gauge groups, and Novikov conjectures
Speaker: Cary Malkiewich
Speaker Info: Stanford University
Brief Description:
Special Note:
Abstract:

Calculus of functors is a powerful technique from homotopy theory, which studies computationally difficult constructions by means of linear approximations. We will describe a new variant of this calculus, based on the embedding calculus of Weiss and Goodwillie. This gives a sequence of approximations to the stable gauge group of a principal bundle, in which the linear approximation is the Cohen-Jones string topology spectrum LM^{-TM}. We will finish with an application to algebraic K-theory, extending work of Bokstedt, Hsiang, and Madsen on the A-theory Novikov conjecture.