Noncommutative Geometry Seminar

Date: November 14, 2018

Time: 2:00PM - 3:00PM

Location: BLOC 628

Speaker: Robin Deeley, University of Colorado Boulder

Title: Relative constructions in K-homology and KK-bordism

Abstract: The Baum-Douglas model for K-homology provides a geometric counterpart to the analytic construction of Kasparov. In the framework of index theory, the former is more related to the topological index, while the latter is more related to the analytic index. I will discuss various relative constructions in geometric (i.e., Baum-Douglas) K-homology and each case the associated index theoretic invariant. If time permits, some more analytic constructions involving Hilsum's notion of KK-bordism will also be discussed. The results in this talk are (in part) joint work with Magnus Goffeng and Bram Mesland.