Final Report Summary - QC&C (Quantum fields and Curvature--Novel Constructive Approach via Operator Product Expansion)
(i) a detailed understanding of the convergence and associativity properties of such expansions,
(ii) a self-consistent procedure for determining the coefficients in them and how they can serve as a constructive tool for quantum field theories,
(iii) a detailed understanding of the relation of such expansions to renormalization group flows,
(iv) an understanding of the interplay of such expansion with gauge invariance,
(v) an understanding of the significance of algebraic structures in field theory from a geometric viewpoint.