The conference will focus on the current impact of Floer homology methods in low-dimensional topology. In recent years, the interactions between geometric, contact and symplectic topology and the many types of Floer homologies have proved very successful in solving outstanding questions in low-dimensional topology, and there are signs that more breakthroughs will occur in the near future. This event will bring together leading experts working in these related areas, but also a special emphasis will be put on the invitation of up-and-coming researchers and graduate students, some of whom will have attended the SMS summer school on the mathematics and physics of knot homologies.