Morita Invariance of Quasi Poisson Structures

Francesco Bonechi (INFN, Firenze)

Aug 26. 2022, 10:00 — 11:00

Lie grouopoid up to Morita equivalence are a model for differentiable stacks. Geometrical structures that are invariant under Morita equivalence are then well defined on the corresponding stack. Quasi symplectic groupoids have been shown to be Morita invariant and thus represent the right notion of 1-shifted symplectic structure. Here we show that quasi Poisson groupoids represent the correct notion of 1-shifted Poisson structure. The result follows from the Morita invariance of the graded 2-Lie algebra of polyvector fields. Based on joint work with N.Ciccoli, C.Laurent-Gengoux and P.Xu.


Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures and Field Theory (Thematic Programme)
Anton Alekseev (U Genève)
Stefan Fredenhagen (U of Vienna)
Nicolai Reshetikhin (UC, Berkeley)
Thomas Strobl (U Lyon)
Chenchang Zhu (U Göttingen)