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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
E-Mail
jpalmer5@illinois.edu
Views
7

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).

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