Events
Multisymplectic observables and higher Courant algebroids
| Title of the event | Multisymplectic observables and higher Courant algebroids |
| Series | KolloquiumGRK |
| Organizer | Mathematisches Institut |
| Speaker | Antonio Miti |
| Speaker institution | Università Cattolica del Sacro Cuore |
| Type of event | Kolloquium |
| Category | Forschung |
| Registration required | Nein |
| Details | Multisimplectic manifolds are a straightforward generalization of symplectic manifolds where one considers closed non-degenerate k-forms in place of 2-forms. Recent works by Rogers and Zambon showed how one could associate such a geometric structure with two higher algebraic structures: an L∞-algebra of observables and an L∞- algebra of sections of the higher Courant algebroid twisted by the multisymplectic form ω. The scope of this talk is to report on joint work with Marco Zambon (arXiv:2209.05836). Our main result is proving the existence of an L∞-embedding between the above two L∞-algebras generalizing a construction already found by Rogers around 2012 for multisymplectic 3-forms only. Moreover, we display explicit formulae for the sought morphism involving the Bernoulli numbers. Although this construction is essentially algebraic, it also admits a geometric interpretation when declined to the particular case of pre-quantizable symplectic forms. Moreover, the latter case provides some evidence that this construction may be related to the higher analog of geometric quantization for integral multisymplectic forms. |
| Date | Start: 13.07.2023, 16:15 Uhr Ende: 13.07.2023 , 17:15 Uhr |
| Location |
Mathematisches Institut (Bunsenstr 3-5) Sitzungszimmer |
| Contact |
0551 39 27752 linda.haber@mathematik.uni-goettingen.de |
| External link | https://uni-goettingen.zoom.us/j/91336854872 |