This conference will be centred on recent progress on BPS invariants, which sit at a focal point of interaction between enumerative algebraic geometry (Donaldson-Thomas theory), quantum field and string theory (BPS spectra of N=2 theories), and the theory of complex differential equations with irregular singularities.

The conference will provide a window into current topical research and it is conceived as an invitation targeted primarily at graduate students and non-specialists in the field. The meeting will feature in particular four introductory survey lectures by world-leading experts, as well as more advanced research talks. We also aim to provide ample opportunity of collaboration and discussion in a workshop-style setting, usually with no more than 4 hours of talks each day.