2018
May
15

# T&G: Yael Karshon (Toronto), Old fashioned geometric quantization

12:00pm to 1:30pm

## Location:

Room 110, Manchester Buildling, Jerusalem, Israel

I will review the Kostant-Souriau geometric quantization procedure for
passing from functions on a symplectic manifold (classical observables)
to operators on a Hilbert space (quantum observables).
With the "half-form correction" that is required in this procedure,
one cannot quantize a complex projective space of even complex dimension,
and one cannot equivariantly quantize the two-sphere nor any symplectic
toric manifold.
I will present a geometric quantization procedure that uses metaplectic-c
structures to incorporate the half-form correction into the earlier