A looping-delooping adjunction for spaces
Event details
| Date | 31.10.2014 |
| Hour | 14:15 › 15:30 |
| Speaker | Martina Rovelli (EPFL) |
| Location |
MA 30
|
| Category | Conferences - Seminars |
Farjoun and Hess introduced twisted homotopical categories, a framework for monoidal categories that come with a looping-delooping adjunction between nice subcategories of monoids and comonoids. This allows a formal theory of bundles. Although much of this kind of structure was inspired by classical constructions and results holding for topological spaces, it does not not seem possible to construct such a structure for spaces in a strict sense. Using the work of Milnor and Dold, we will explain that the classifying group functor and (Milnor’s model of) the loop functor behave almost as adjoint functors, between a category of nice pointed spaces and nice topological groups. The argument leads to a classification of principal bundles over a fixed space, as a dual version of the well-known classification of bundles with a fixed group.
Links
Practical information
- Informed public
- Free
Organizer
- Kathryn Hess