Lie groupoids, Morita equivalences and quantum tori

Abstract: Lie groupoids are categorified manifolds, they provide a unified framework for classic geometries, and they can be used to model stacks in differential geometry. Stacks have manifolds, orbifolds, orbit spaces and leaf spaces as examples, and two groupoids present the same stack if they are Morita equivalent. In this talk I will survey the foundations of Lie groupoids, Morita equivalences and differentiable stacks, and present as an application a geometric version of Rieffel’s Theorem on quantum tori.

mathematical physicsdifferential geometryquantum algebrasymplectic geometry

Audience: researchers in the topic

Deformation Quantization Seminar