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 in a variety of aspects of the study of holomorphic curves and their applications to low-dimensional topology. Points of focus will include contact and symplectic structures and dynamics, Lagrangian cobordisms and Legendrian knots, 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.