A torus theorem for homotopy nilpotent groups
Event details
| Date | 13.10.2015 |
| Hour | 10:15 › 11:30 |
| Speaker | Jérôme Scherer |
| Location |
CM113
|
| Category | Conferences - Seminars |
This is joint work with Cristina Costoya and Antonio Viruel. Homotopy nilpotent groups have been defined by Biedermann and Dwyer as certain homotopy algebras over the "Goodwillie calculus algebraic theories" (one for each nilpotency class). This yields a beautiful filtration of loop spaces where homotopy abelian loop spaces are precisely infinite loop spaces. In order to do computations however a more naive notion of nilpotency is useful. We introduce a new invariant called "extension by principal fibrations length", explain how it is related to homotopy nilpotency, and apply it to describe all finite homotopy nilpotent loop spaces.
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Practical information
- Informed public
- Free
Organizer
- Magdalena Kedziorek