Manifolds endowed with special geometric structures are understood in terms of actions of Lie groups belonging to Berger’s celebrated list. Albeit rooted in differential geometry, these special manifolds exhibit deep relationships with complex and algebraic geometry, global analysis, theoretical physics and symplectic geometry. The meeting will therefore focus on a wide number of topics, including equations of Monge-Ampère type, special holonomy, quaternionic geometry, twistor theory, non-Kähler complex manifolds, harmonic maps, Einstein and soliton metrics, homogeneous spaces, integrable systems, gauge theory, geometric flows, and mathematical string- and M-theory.