Coassembly Maps, Gauge Groups, and K-Theory
Cary Malkiewich, Stanford University
Location: Stevenson 1432
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 theory provides us with 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. We will finish with some future applications to algebraic K-theory, a subject which provides a powerful (but difficult to compute) invariant for rings, algebras, and groups.