Quantization of Hamiltonian LG-spaces

GAP Seminar

Meeting Details

For more information about this meeting, contact Ping Xu, Eyal Subag, Nigel Higson, Mathieu Stiénon.

Speaker: Yiannis Loizides, University of Toronto

Abstract: I will describe work in progress with E. Meinrenken and Y. Song. We construct a spin-c structure on a finite-dimensional "cross-section" of a Hamiltonian LG-space. The corresponding Dirac operator has a well-defined index in the completion of the representation ring of the maximal torus. (This "quantization" is closely related to the quantization scheme for quasi-Hamiltonian G-spaces via twisted K-theory proposed by E. Meinrenken a few years ago.) We study the multiplicities by deforming the operator with a suitable vector field. A quantization-commutes-with-reduction result follows from an interesting inequality just involving certain Lie-algebra data.

Room Reservation Information

Room Number: 106 McAllister

Date: 11/29/2016

Time: 2:35pm - 3:30pm