MaPhySto
The Danish National Research Foundation:
Network in Mathematical Physics and Stochastics

---

Funded by The Danish National Research Foundation

Geometric Mathematical Physics Seminar

Abstract
With the method of geometric quantization of Kostant and Souriau, we can associate to a compact prequantizable Kähler manifold a quantum space. The first applications of this construction were in group theory. More recently, the works of Zelditch and Borthwick-Paul-Uribe have shown that this quantization has good semi-classical properties. As instance, we can define in this setting a semi-classical algebra. It consists of the so-called ``Berezin-Toeplitz operators'', which present many similarities with the pseudo-differential operators. The talk will be devoted to the spectral properties of these operators, such as the estimate of the spectral density and the Bohr-Sommerfeld conditions.

Contact person:Jørgen Ellegaard Andersen.