Topology Seminar

Title: Modeling Stable One-Types
Speaker: Niles Johnson
Speaker Info: University of Georgia, Athens
Brief Description:
Special Note:

It is a classical result that groupoids model homotopy 1-types, in the sense that there is an equivalence between the homotopy categories, via the classifying space and fundamental groupoid functors. We extend this to stable homotopy 1-types and Picard groupoids.

Using an algebraic description of Picard groupoids, we give a model for the Postnikov invariant of a stable 1-type and describe the action of the truncated sphere spectrum in these terms. We relate this data to exact sequences of Picard groupoids developed by Vitale, constructing a model for the homotopy cofiber of a map of stable 1-types. This is joint work with Angélica Osorno.

Date: Monday, March 5, 2012
Time: 4:10pm
Where: Lunt 104
Contact Person: Prof. Paul Goerss
Contact email: pgoerss@math.northwestern.edu
Contact Phone: 847-491-8544
Copyright © 1997-2024 Department of Mathematics, Northwestern University.