Veranstaltung
Multisymplectic observables and higher Courant algebroids
| Titel der Veranstaltung | Multisymplectic observables and higher Courant algebroids |
| Reihe | KolloquiumGRK |
| Veranstalter | Mathematisches Institut |
| Referent/in | Antonio Miti |
| Einrichtung Referent/in | Università Cattolica del Sacro Cuore |
| Veranstaltungsart | Kolloquium |
| Kategorie | Forschung |
| Anmeldung erforderlich | Nein |
| Beschreibung | 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. |
| Zeit | Beginn: 13.07.2023, 16:15 Uhr Ende: 13.07.2023 , 17:15 Uhr |
| Ort |
Mathematisches Institut (Bunsenstr 3-5) Sitzungszimmer |
| Kontakt |
0551 39 27752 linda.haber@mathematik.uni-goettingen.de |
| Externer Link | https://uni-goettingen.zoom.us/j/91336854872 |