Toward an explicit description of deformation quantizations of homogeneous complex bounded domains
Speaker: Stephane Korvers, University of Luxembourg
Abstract: We give a realization of the space of all deformation quantizations of the unit ball D of the space of n complex variables. It relies on the resolution of a hierarchy of PDEâ€™s which is intimately related with the geometric structure of this space. Certain solutions of this hierarchy of PDEâ€™s define convolution operators that intertwine the deformation theory at a level of a curvature contraction of D with that of this space. This construction is entirely explicit and can be performed in a more general framework including homogeneous complex bounded domains. This is a joint work with Pierre Bieliavsky.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm