Dupont-Guichardet-Wigner quasi-morphisms and mapping class group
Event details
| Date | 03.11.2015 |
| Hour | 10:15 › 11:30 |
| Speaker |
Wolfgang Pitsch (Universidad Autónoma de Barcelona) |
| Location |
CM113
|
| Category | Conferences - Seminars |
In this talk I will present some results obtained in joint work with L. Funar (Institut Fourier-CNRS) on the explicit construction of quasi-homomorphisms on the universal central extension of the mapping class group of an oriented surface. These come as restriction of Dupont-Guichardet-Wigner quasi-morphisms on pseudo-unitary groups, and their construction is inspired by the work of Barge-Ghys on quasi-homomorphisms on Symplectic groups. These objects have two main properties: first, as showed by Burger and Iozzi, they classify pseudo-unitary representations of the mapping class group, and second because they allow to estimate the size of the kernels of the TQFT representations of the mapping class groups.
Links
Practical information
- Informed public
- Free
Organizer
- Magdalena Kedziorek