Dr Edwin Beggs

Noncommutative differential geometry

Syllabus:

-       Differential calculi on noncommutative algebras

-       Introduction to Hopf algebras and their calculi

-       Calculi on graphs and finite groups

-       Covariant derivatives on modules and bimodules, curvature

-       Monoidal categories

-       Noncommutative vector fields, states and divergences

-       CP maps and the KSGNS construction, Hilbert C* bimodules

-       The flow of states generated by vector fields

-       Parallel transport