On the algebraic EHP sequence
Event details
| Date | 26.09.2014 |
| Hour | 14:15 › 15:30 |
| Speaker | Nguyen The Cuong |
| Location | |
| Category | Conferences - Seminars |
One of the most basic problems in homological algebra is to construct explicit injective (projective) resolutions of modules. We are interested in finding such construction for the reduced mod 2 cohomology of the spheres Sn in the category of unstable modules U. The pseudo-hyper resolution is developed as an attempt to deal with this problem. The question is at present far from being solved but we manage somehow to archive some interesting properties of minimal injective resolutions of H* (Sn; F2) in U. These results provide a new point of view for the problem of computing the E2 page of the unstable Adams spectral sequence converging to homotopy groups of spheres. One of the first applications of these computations, which is also the main goal of this talk, is an elementary reconstruction of the algebraic EHP sequence and an approximation to the "sphere of origin" question.
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Practical information
- Informed public
- Free
Organizer
- Kathryn Hess