Simplicial volume of surface bundles and other invariants.
Event details
| Date | 18.11.2015 |
| Hour | 16:30 › 17:30 |
| Speaker | Caterina Campagnolo (Geneva) |
| Location |
CM010
|
| Category | Conferences - Seminars |
A surface bundle is a manifold that projects onto a base space with fibre over each point a surface.
The study of surface bundles over surfaces through numerical invariants has flourished since the sixties, after Chern, Hirzebruch and Serre proved a sufficient condition for the vanishing of their signature.
I will present a less classical invariant, namely the simplicial volume, as well as relations between this and the signature and the Euler characteristic of the surface bundle. If time permits, I will outline the construction of a family of such bundles for which the estimates of the simplicial volume are better than in the general case.
The study of surface bundles over surfaces through numerical invariants has flourished since the sixties, after Chern, Hirzebruch and Serre proved a sufficient condition for the vanishing of their signature.
I will present a less classical invariant, namely the simplicial volume, as well as relations between this and the signature and the Euler characteristic of the surface bundle. If time permits, I will outline the construction of a family of such bundles for which the estimates of the simplicial volume are better than in the general case.
Practical information
- Informed public
- Free
Organizer
- Louis Merlin