University of Toronto's Symplectic Geometry Seminar

Abstract: Toeplitz operators have been studied by analysts for many years. The most basic example is a Toeplitz operator on the Hardy space on the unit circle. Boutet de Monvel and Guillemin developed a theory of Toeplitz operators for certain complex domains, and this gives, as a particular case, the definition of a Toeplitz operator commonly used in quantization, with the domain being the unit disc bundle in the dual of a pre-quantizing line bundle on an integral compact Kahler manifold. I will outline some recent results related to Toeplitz operators in this setting.