Commutative Complex K-theory Seminar: Simon Gritschacher

  • Date: 06/22/2017
  • Time: 15:15
Simon Gritschacher, University of Oxford

University of British Columbia


Commutative complex K-theory, Part II


Last time we have seen that the spectrum for commutative K-theory is equivalent to the ku-group ring of BU(1). In this second talk I will show how this induces a splitting of the space BcomU as a product of all the stages in the Whitehead tower for BU. I will then explain the relationship between the homotopy groups of BcomU and certain rational characteristic classes introduced by Adem and Gomez.
Finally, I would like to explain an alternative but equivalent picture using Segal's Dold-Thom functor for K-homology theory.

Other Information: 

Thu 22 Jun 2017, 3:15pm-4:45pm, ESB 4133 (PIMS Lounge)