Speaker
Bram Mesland
Description
In this talk we introduce the curvature of densely defined universal connections on Hilbert C*-modules relative to a spectral triple, obtaining a well-defined curvature operator. Algebraically, this curvature can be interpeted as the defect of the unbounded Kasparov product to commute with the operation of taking squares. The definition recovers the represented curvature of finitely generated projective modules as well as all the curvature data of a Riemannian submersion of compact manifolds, viewed as a KK-factorization.
