An algebraic model for rational SO(3) spectra
Event details
| Date | 19.02.2015 |
| Hour | 09:15 › 10:30 |
| Speaker | Magdalena Kedziorek (EPFL) |
| Location |
CM 106
|
| Category | Conferences - Seminars |
In algebraic topology we consider invariants of spaces with a G action, such as G-cohomology theories, which are represented by G-spectra. Since it is quite difficult to make systematic computations in the category of G-spectra, it is useful to have an algebraic model of it, i.e. a simpler, algebraic category Quillen equivalent to G-spectra. The work towards providing an algebraic model has been started by Greenlees with several cases established by Greenlees, Shipley and Barnes, including results for finite groups, tori and O(2). In this talk I will present an overview of an algebraic model for rational SO(3)-spectra. I will describe the general idea of a proof and concentrate on the main new ingredient, namely the interaction of the left Bousfield localisation and two adjunctions: induction – restriction and restriction- coinduction. I will justify why this approach will be useful in considering algebraic models for further groups.
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Practical information
- Informed public
- Free
Contact
- Kathryn Hess