Cookies and Tracking help us to give you a better experience on our website
KolloquiumGRK
Multisymplectic observables and higher Courant algebroids
13.7.2023, 16:15 - 17:15
Speaker:Antonio Miti, Università Cattolica del Sacro Cuore
Location:Mathematisches Institut, Bunsenstr 3-5SitzungszimmerGras Geo Map
Organizer:Mathematisches Institut
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.
Search for keywords:
Type:Colloquium
Language:English
Category:Research
Contact:Linda Haber0551 39 27752linda.haber@mathematik.uni-goettingen.de
Export to your calendar (e.g., Outlook or iCal):
Download
EN DE