Alix Deleporte

The large spin limit is commonly seen as a semiclassical limit. The Berezin-Toeplitz quantization gives a mathematical background to this interpretation. In this talk, I will present this quantization, which is also useful when dealing with problems from Weyl quantization. I will present recent results about the spectrum of Toeplitz operators in the semiclassical limit, in smooth as in analytic regularity, and their applications to the low-temperature properties of frustrated spin systems.