Pure Maths Colloquium: Signatures for singular spaces
26 January 2009 16:15 in CM 107
The signature of a smooth compact manifold has a lot of interesting properties and is related to quantities defined in topological, geometric and analytic ways. When we move to the setting of singular spaces, these various quantities are no longer a priori related, and the properties of signature don't hold in the same simple sense. Nevertheless, there are still many interesting relationships among these quantities and various versions of the properties that hold in special settings. In this talk, I will briefly review signatures for smooth manifolds, then give an overview of some of the work being done by various researchers on extending signature theory to singular spaces.