Symplectic and Poisson geometry seminar: Non-formal deformation quantization of Poisson manifolds
- Event Type
- Seminar/Symposium
- Sponsor
- n/a
- Location
- 347 Altgeld Hall
- Date
- Feb 21, 2022 3:00 pm
- Speaker
- Rui Loja Fernandes
- Contact
- Joey Palmer
- jpalmer5@illinois.edu
- Views
- 11
The Kontsevich formality theorem, established more than 20 years ago, implies that every Poisson manifold has a formal deformation quantization. The existence of non-formal deformations, on the other hand, remains largely an open problem. We study star products defined by semi-classical integral Fourier operators. Our main result states that a Poisson manifold which admits such a star product must be integrable by a symplectic groupoid. This is on-going joint work with Alejandro Cabrera (UFRJ).