The Goodwillie tower of spaces and analogues of rational homotopy theory
Event details
| Date | 12.04.2016 |
| Hour | 10:15 › 11:30 |
| Speaker |
Gijs Heuts (University of Copenhagen) |
| Location |
CM113
|
| Category | Conferences - Seminars |
We establish a variant of rational homotopy theory where only finitely many (rather than all) primes have been inverted. The trade-off is that one has to restrict to spaces whose homotopy groups are concentrated in a certain finite range and one has to replace differential graded Lie algebras with algebras over Ching's "Lie operad in spectra". If time permits, we will also consider an analogue of the comparison between spaces and Lie algebras in the setting of telescopic (or K(n)-local) homotopy theory. These results arise from studying the Goodwillie tower of the category of pointed spaces.
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Practical information
- Informed public
- Free
Organizer
- Magdalena Kedziorek