This workshop aims at providing an updated survey of the state of the art and future research directions in the area of compact hyperkähler manifolds in its various aspects. In particular, the following are some of the topics that will be addressed during the conference: the study of automorphisms and monodromy groups of compact hyperkähler manifolds and applications, the construction of families of compact hyperkähler manifolds, and the study of Lagrangian fibrations on compact hyperkähler (singular) varieties. The workshop will be an opportunity to celebrate Dimitri Markushevich's 60th birthday and to recognize his many contributions to algebraic geometry.