Power operations in Adams spectral sequences
Event details
| Date | 10.12.2015 |
| Hour | 15:30 › 16:45 |
| Speaker |
Sean Tilson (University of Osnabrück) |
| Location |
MA110
|
| Category | Conferences - Seminars |
Multiplicative structure and power operations have been used to great effect in many familiar spectral sequences. One main application is an easy proof of the collapse of a spectral sequence or a computation of the multiplicative structure or power operations on the target of a spectral sequence. In the case of the Adams spectral sequence one can do more. In his thesis, Bruner gave definitive formulas for differentials in the Adams spectral sequence of an H_oo-ring spectrum. In particular, this gives a nice intuitive explanation of the Hopf invariant one differential d_2(h_{i+1})=h_0h_i^2. In explaining this differential, we will expose the moving parts of such a result. We will also present a C_2-equivariant form of some of Bruner's results.
Links
Practical information
- Informed public
- Free
Organizer
- Magdalena Kedziorek