A proof of the Barratt-Priddy-Quillen theorem via scanning methods
Event details
| Date | 05.03.2026 |
| Hour | 16:00 › 17:00 |
| Speaker | Marie-Camille Delarue, Institut de Mathématiques de Jussieu - Paris |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
The homology of the symmetric groups stabilizes, and the Barratt--Priddy--Quillen theorem identifies the stable homology with that of the infinite loop space underlying the sphere spectrum. We formulate a new proof inspired by Galatius, Kupers, and Randal-Williams using scanning methods.
We build a topological model for the monoid formed by all the symmetric groups as a category of paths in ℝ∞ and build a scanning map from this model to a space of local images.
Practical information
- Informed public
- Free
Organizer
- Markus Kirolos
Contact
- Maroussia Schaffner