Twistor structures, tt*-geometry and singularity theory

Abstract

We give an overview on the tt*-geometry defined for isolated hypersurface singularities and tame functions via Brieskorn lattices. We discuss nilpotent orbits in this context, as well as classifying spaces of Brieskorn lattices and (limits of) period maps.

to appear in "From tQFT to tt* and integrability", Proceedings of Symposia in Pure Mathematics, AMS