José Mourão (Instituto Superior Técnico)

Large complex structure limits in geometric quantization

One important issue in geometric quantization consists in studying the dependence of quantization on the choice of polarization, an additional technical ingredient of which the outcome of quantization should be independent.

We will review this general problem and will study it in some examples corresponding to the degeneration of Kaehler polarizations to real polarizations (large complex structure limits).

This is based on joint work with T.Baier, W.Kirwin and J.P.Nunes.