Orbit equivalence is a core concept in the understanding of group dynamics, be it in the topological, measured or Borel context. It can also make the wildest dreams of a group theorist come true, allowing one to put a free group inside any non amenable group.
This conference proposes to explore the many facets of orbit equivalence and its quantitative versions that have emerged recently, in interaction with operator algebras, entropy, percolation, invariant random subgroups, ℓ² invariants, geometric group theory and Borel combinatorics.
We hope that this blend of topics will nurture further developements in the understanding of groups via their orbits, and more generally in topological and measurable dynamics. Besides, we will celebrate the sixtieth birthday of Damien Gaboriau, whose work has had a tremendous impact on this area.