Approximating Taylor towers with mapping spaces
Event details
| Date | 14.12.2012 |
| Hour | 14:15 › 15:30 |
| Speaker | Greg Arone (Virginia) |
| Location |
MA 10
|
| Category | Conferences - Seminars |
Let F be a topological functor. The sequence of derivatives of F forms a module over a certain operad (the operad depends on the domain and target of F). If one tries to recover F from the module structure on the derivatives, one obtains a certain "best possible" approximation to F in terms of mapping spaces between operad modules. In some cases, the approximation coincides with the Taylor tower of F. Even when it doesn't, the approximation is interesting in its own right. The difference between our approximation and the Taylor tower is measured by the Tate homology of the derivatives of F. As one consequence, we obtain an amusing new perspective on classical rational homotopy theory. The talk is based on joint work with Michael Ching.
Links
Practical information
- Informed public
- Free
Organizer
- Kathryn Hess (EPFL)