The study of smooth, contact, and symplectic topology in low-dimensions was transformed in the 1980’s by work of Gromov using pseudo-holomorphic curves to study symplectic structures, and by Donaldson's use of moduli spaces of Yang-Mills instantons to study smooth 4-manifolds. The following decades have seen many spectacular results arise from deep connections made between these approaches by, among others, Eliashberg, Floer, Giroux, Fintushel-Stern, Gompf, Kronheimer-Mrowka, Ozsváth-Szabó, Taubes and Witten.
The purpose of this meeting is to bring together a diverse range of experts and early-career researchers working in these and related fields. Points of focus will include contact and symplectic structures, knot concordance, Engel structures and the relation of these to unifying notions such as rigidity and flexibility, and Floer–theoretic frameworks of study.
The workshop will have a strong contingent of early-career researchers, and this will be reflected in the format of talks, which will include many short talks. There will also be discussion sessions scheduled throughout the week.