Berezin–Toeplitz quantization on symplectic manifolds of bounded geometry

In the talk, we will discuss the theory of Berezin–Toeplitz quantization on a class of noncompact symplectic manifolds, namely, on symplectic manifolds of bounded geometry. The quantum space is the spectral subspace of the renormalized Bochner Laplacian on a prequantum Hermitian line bundle associated with some interval near zero. We show that such a quantization has the correct semiclassical limit.