This workshop will bring together experts in Algebraic Geometry to discuss and try to solve problems that are relevant to the classification of finite subgroups of Cremona groups up to conjugation. Priority would be given to the following four related areas: automorphisms of Fano varieties, classification of Fano varieties with prescribed symmetry groups, rationality problems for Fano varieties over algebraically non-closed fields, and K-stability of Fano varieties, with a special focus on the real Cremona groups.