Geometry & Topology Seminar: "An introduction to the quantization commutes with reduction theorem"

Abstract: In mathematics, more specifically in the context of geometric quantization, quantization commutes with reduction states that the space of global sections of a line bundle satisfying the quantization condition^[1] on the symplectic quotient of a compact symplectic manifold is the space of invariant sections of the line bundle. This was conjectured in 1980s by Guillemin and Sternberg and was proven in 1990s by Meinrenken. In this talk, I will give an introduction to this theorem, and discuss some examples.

Host: Xiang Tang