Degeneration of Kähler polarisations associated to imaginary-time flow

Geometric quantization on symplectic manifolds plays an important role in representation theory and mathematical physics, and is deeply related to symplectic and differential geometry. A crucial problem is to understand the relationships among geometric quantizations associated with different polarizations. In this talk, we will discuss the existence of mixed polarizations and degeneration of Kähler polarizations associated to imaginary-time flow.