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Amphitheatre Pa2, Mathematics Building
A review of Berezin-Toeplitz quantization
In this lecture course I will introduce the Berezin-Toeplitz (BT) quantization scheme. This scheme is adapted if the phase space manifold is a Kaehler manifold. The BT scheme includes and relates both operator quantization and deformation quantization.
I will define the basic objects and explain the main results. In particular it will turn out that the BT operator quantization has the correct semiclassical limit (at least in the compact Kaehler case).
If time permits I will also discuss coherent states a la Berezin-Rawnsley, covariant and contravariant Berezin symbols and the Berezin transform which is related to the Bergman kernel.
Depending on the wishes of the audience other related topics can be presented.