Cellular properties of nilpotent spaces
Event details
| Date | 20.09.2013 |
| Hour | 14:15 › 15:30 |
| Speaker | Jérôme Scherer (EPFL) |
| Location |
MA 10
|
| Category | Conferences - Seminars |
This is joint work with Wojciech Chachólski, Emmanuel Dror Farjoun, and Ramón Flores. One property of classifying spaces of discrete groups is that the pointed mapping space map*(BG, BG) is (homotopically) discrete, more precisely the fundamental group functor induces an equivalence with Hom(G, G). Which other spaces have this property? For nilpotent spaces, only classifying spaces do!
To attack this problem we study cellular properties of nilpotent spaces. We show in particular that a nilpotent space X "constructs" any of its Postnikov sections, hence K(pi1 X, 1). I will explain our strategy of this cellularity statement and how it implies the claim about mapping spaces.
To attack this problem we study cellular properties of nilpotent spaces. We show in particular that a nilpotent space X "constructs" any of its Postnikov sections, hence K(pi1 X, 1). I will explain our strategy of this cellularity statement and how it implies the claim about mapping spaces.
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Practical information
- Informed public
- Free
Organizer
- Kathryn Hess Bellwald