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Seminários do IMPA

Física Matemática

Quantization of symplectic groupoid and multiplicative integrable models – Part I
Francesco Bonechi

Università Degli Studi di Firenze
Segunda-feira, 4 de novembro de 2019, 13:00
Sala 228

I will present a class of non trivial examples where Weinstein's dream of quantizing Poisson manifolds through the quantization of the symplectic groupoid can be concretely realized.  The construction uses singular polarizations, for instance those given by integrable models that are compatible with the groupoid structure. We call such models multiplicative. The main source of examples comes from PoissonNijenhuis geometry. In the first lecture I will discuss the quantization of the BruhatPoisson structure on complex projective spaces. In the second lecture I will discuss the PoissonNijenhuis structure defined on hermitian symmetric spaces.