Algebraic realization problem for equivariant complex vector bundles over the 2-sphere
Event details
| Date | 05.12.2014 |
| Hour | 14:15 › 15:30 |
| Speaker | Jean Verrette (Hawaii) |
| Location |
MA 30
|
| Category | Conferences - Seminars |
Let G be a compact Lie group, and consider the 2-sphere as the base of a smooth complex G-vector bundle. We explore when these bundles are strongly algebraic, i.e., when there exists a non singular algebraic complex G-variety which is equivariantly diffeomorphic to the 2-sphere. We first present many such equivariant line bundles as strongly algebraic, and we proceed to construct all bundles with conditional group actions as sums of line bundles. We also explore the unfinished cases and possible methods of completion. This work is in progress with Heiner Dovermann.
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Practical information
- Informed public
- Free
Organizer
- Kathryn Hess