Curvature in noncommutative geometry, spectral aspects.

mathematical physicsdifferential geometryoperator algebrasspectral theory

Audience: advanced learners

Geometry through spectral functionals

Series comments: A mini-conference (Banach Center Conference) to review the current status of the approach on geometry through the spectral data. The aim is to briefly cover old and recent results on obtaining curvature terms and geometric objects like scalar curvature, Ricci tensor, etc. for Riemannian manifolds and their generalizations in noncommutative geometry.