|Title||Functors to categories of manifolds|
|Presenter||Diarmuid Crowley (The University of Melbourne)|
|Session||Category Theory, Algebraic Topology, K-Theory|
In this talk I will describe how Wall's theory of thickenings allows us to define functors on the homotopy category of certain finite CW-complexes with values in groups of certain diffeomorphism classes of manifolds. I will then report on joint work with Csaba Nagy where establish basic facts and computations for these functors in important special cases.