# Orbit method for quantum homogeneous spaces

## Meeting Details

Abstract: In this talk we will review results on the orbit method for homogeneous spaces of compact quantum groups, which gives rise to $C^*$--algebra quantizations. We will show how groupoid quantization may be of help in understanding some of the features of the correspondence between symplectic leaves and unitary irreducible representations, and give some new results for the case of non standard complex quantum projective spaces.