Noncommutative Geometry via Deformation Quantization

报告人：高浩元

时间：2022-01-12  14:30－17:30pm

地点：数信学院103

摘要：In this talk, we introduce a noncommutative version of the theory of Riemannian geometry via deformation quantization of Poisson structures. We will discuss noncommutative metrics, connections, curvatures and Bianchi identities and how they relate to classical ones. We also formulate noncommutative Einstein field equations. We will compute noncommutative curvatures of some explicit noncommutative surfaces.