Speaker
José Mourão
Description
The choice of a polarization in a quantum theory is equivalent to the choice of a (local) maximal abelian algebra of preferred observables. We recall how imaginary time Hamiltonian flows correspond to geodesics in the space of Kaehler polarizations and how this allows us to define mixed momentum space and holomorphic quantization for cotangent bundles of compact Riemannian symmetric spaces. In the noncompact case the same can be achieved with the infinite real time limit of the symmetric space geodesic flow.
Primary author
José Mourão
