From tQFT to tt* and integrability

Organisation of an international scientific conference in Augsburg, centering around recent developments concerning the publication "Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes" by Bershadsky, Cecotti, Ooguri and Vafa. Specifically, the latter work investigates the geometry underlying topological quantum field theories and their deformations. It relates ideas from algebraic geometry and singularity theory (Frobenius manifolds and their generalisations, mixed twistor structures, primitive forms, harmonic bundles), with ideas from the theory of integrable systems and quantum field theory. The aim of the conference was in particular to address recent developments in the areas listed above, which on first sight seem to be far apart but all have common roots in the cited publication. These apparently disjoint strands were pulled together, and in particular the dialogue between the experts from the mathematics and the physics communities was triggered.