Speaker
Iakovos Androulidakis
Description
E. Hawkins proposed a scheme for geometric quantization of a Poisson
manifold by means of deformation to normal cone of a symplectic groupoid,
where the C*-algebra involved is twisted by polarization. We report on
work in progress with P. Antonini, F. Bonechi, N. Ciccoli and V. Zenobi,
where we review these ideas using a natural filtration. We redefine the
notion of polarization allowing to include singular examples. The upshot
of this project is to eventualy provide a framework allowing to compare
geometric quantization with deformation quantization.